Zero is a rather locked up character. He shows little emotion in order to hide the depressed and even caring side of himself. He grew up in an abusive family, so he doesn't trust easily and is often a complete jerk to people he just meets. This making him scary and intimidating to most.
He's afraid to make mistakes and does everything in his power to be the top of everything he does. He's extremely competitive and hates to lose. He's known to be hot headed and to act on his anger often.
However, none of this is entirely his fault. Growing up in the harsh expectations of the Divine Lab, it's all he's ever known to proceed in life. Despite all his flaws, he can be rather protective and caring towards the few he considers friends.
When he falls for someone, he falls hard, to the point where he does anything he can to protect them from harm. He considers himself dangerous and someone to avoid. Which is partially true.