Is it normal that i hate my parents?

Okay so I'm 21 years old in college majoring in chemical engineering. I also work 40 hours a week. My parents are divorced and I could care less. I live with my mother to save up money. She is crazy though. I've work since I was 14 years old and since my first job my mother has stopped supporting me finacially. I mean everything to the last dime. Won't buy the groceries, I have to buy my own. Won't even buy me a toothbrush. And I have gotton over all that I pay my own car and bought my car. I even pay for my school myself. But she is just a miserable person. She comes home just yelling at me fir everything. Oh there is a fork in the sink...which I will clean up I just didn't do it yet. Oh your room smells what have you been doing? Who was over the house? who ate the cereal? It's no stop yelling. Mean while I know my mom hates ppl and if I do happen to have any spare time which I usually don't I would never bring them to my house to even chance meeting my crazy mom. She will just yell and make me look dumb. And since I work and go to school I study a lot and rarely rarely rarely ever get to go out and see my friends and when I do she assumes I'm doing
drugs which I will never touch! Yes I have drank I'm 21 in college let's get serious. But it's an extreme rarity. My best friend is the only one who has ever been in the house and witnessed it and now won't ever come over again because we used to talk and do homework together. She thinks my mom is nuts and her mom feels bad for me which I don't want. I don't ever talk to my mom if I do it's her yelling at me and me telling her I'm leaving bye. I don't know if this is normal or not. My friends say I need to move out cause she is affecting me but I was trying to save money by just not having to pay rent but I think I'm gonna have to move out. We are two complete opposites. I love ppl and am friendly she doesn't like anyone or talking and yells at ppl over the phone just something I couldn't do. I tip well she would leave like a dollar and she thinks she is better than everyone else. I'm not being
a baby or anything just curious if this is
normal or if anyone else deals with this? It's like she's my mom I would love some kind of relationship but we dont even talk. My older brother who is 23 left 8 years ago and says he will never come visit. My dad will never talk to her they were married for 23 years and my parents won't say a word to eachother I am the mediator between the two. Idk I think it's time for me to leave too I just feel bad leaving her all alone but she's killing me! Making me depressed and constantly walking on egg shells.