His relationship with the gods would be super interesting. The gods would be very wary of him. Zeus, in particular, would probably want to keep an eye on him or even try to eliminate him. But some of the more benevolent gods, like Poseidon (even though he's not Percy's father in this fanfiction), might give him a chance. Percy would have to navigate this tricky political situation among the gods while also trying to find his place in the world.
His relationship with Annabeth would be very strained at first. She might be very suspicious of him and his motives, given his relation to Kronos. But as she sees Percy struggling against the dark influence, she could come to his side and help him. Their relationship would then become deeper as they face this new challenge together.
With Kakashi, Kakashi would be very cautious at first. He'd need to understand what this new development means for Naruto and the village. But as he sees Naruto trying to handle it responsibly, he would offer his guidance as he always has, but with an added layer of concern for the implications of Naruto's relation to Kronos.
His relationship with Annabeth would be really strained. Annabeth is a firm believer in the gods, and if Percy is the son of Kronos, she would be very suspicious and probably feel betrayed. She might even try to fight Percy at first, thinking he's a threat to her and her friends.
The relationship with Poseidon would be extremely complicated. Poseidon would be torn between his love for Percy and his fear of what Percy could become as Kronos' twin. He might try to distance himself from Percy at first, which would deeply hurt Percy. On the other hand, Percy's relationship with some of the minor gods might improve. Since they are often overlooked by the major gods, they might see Percy as a potential ally in changing the status quo. Percy's relationship with Luke, if he were still alive in this fanfiction, would also be interesting. Luke might try to use Percy's connection to Kronos to his advantage, but Percy would have to be careful not to be manipulated by Luke.
With the other demigods, Percy might start off as an outcast because of his different origin. However, as he shows his loyalty and bravery, they start to accept him. For instance, in a training session, Percy helps a fellow demigod who is struggling with a particular skill, and this act of kindness begins to change their perception of him.
Her relationship with the camp counselors would be really complex. They have to protect the camp and its inhabitants, so they'd be hesitant to fully trust her. However, as she participates in camp activities and battles, she could earn their respect. In terms of romantic relationships, a son of Athena might be initially attracted to her intelligence but then struggle with her heritage. And she might have a mentor - like relationship with an older demigod who has also had a difficult family history.
To develop the character, start with his backstory. Since he's the son of Kronos, he might have grown up in a very different environment compared to other demigods. Maybe he was hidden away by a minor god who felt sorry for him. His past experiences of being alone and shunned because of his father would shape his personality, making him a bit of a loner at first.
Well, Percy's character would go through a major transformation. Initially, he would be shocked and confused about being the son of Kronos and Gaea. This would cause him to reevaluate his relationships with his friends and allies. He may feel isolated as he believes they might not accept him anymore. As he delves deeper into his heritage, he would learn about the history and motives of Kronos and Gaea. This knowledge would give him a different perspective on the world of gods. He would have to make tough decisions, like whether to use the powers associated with his parents for good or evil. Through these experiences, he would become a more self - aware and morally complex character, no longer simply the hero who always follows the Olympians' rules but someone who has to make his own path based on his understanding of his true identity.
His relationships with his old friends would be strained. They might be wary of him at first. For example, Annabeth might be very cautious around him as she's not sure if he can be trusted. But over time, if Percy proves himself, they could slowly rebuild their friendship.
His relationship with Annabeth would be different. She might be a bit more cautious at first, as Percy's new heritage from Oceanus could bring unforeseen challenges. But they would also have a new level of respect for Percy's increased power. With his other friends like Grover, they might look up to him more, seeing him as having an even greater destiny. However, some characters might be jealous or suspicious of Percy, like some of the children of Poseidon who might feel overshadowed.