I'll see what I can say.
Well, ok let me start off by saying stop being depressed. Because honestly (not to be harsh or anything) I don't think you have a reason for being depressed, maybe if you had family dying because they are fighting across the world.
But that is still not reason to hurt yourself, it just makes you look stupid.
I mean yes, being a HS dropout may seem bad, but it's not the end of the world. You can still do so much. There are so many options, get a job, or even better start your own job, a e-business to be exact. Even though it takes a lot of planning it's worth it in the end. If you want to try your chances at education again, move to a new school, home school, night school, private school, online school, there are so MANY options; so don't give up because you still have a shot. =/
And just because people make fun of you, you don't have to listen to them. They are just judgmental and ignorant. A simple way is to ignore it. If you show that you actually care about what other people say, they will most likely make fun of you more than they already do. The best thing to do is just ignore it. You just need to respect yourself and your beliefs, that's all that counts, other people's opinions don't matter because it's your individuality.
Live your life to it's fullest, yeah maybe you can't go anywhere or get out of the house or anything. But try and create something, get a hobby, draw, sew, make music, go outside and be happy that you were able to wake up and see another day. There is so much that you can do, and instead of thinking about how suckish your life seems, think about the little possibility of the happiness that's out there.
And no one is ever alone, you can feel alone, but your not alone. I mean, if you were really alone you wouldn't be talking to us and we wouldn't be trying to help you. And maybe your just not good at being social, but that's ok. If you try (not too hard) you can make as many friends as you want. Don't try to be someone your not, or try to make friends that will end up drifting away. Meet people that you know you can trust and express your feelings with, and truly understand how you feel. I know it's hard but, you at least have to try, try to hang out with the good crowd. ;D
And last but not least, have some self confidence, your are NOT inferior to anyone, everyone is equal no matter how smart, strong, different, and etc. We are all human with individual personalities. You have your own, and you know who you are, accept that, and don't change. If your having problems at home, go to a councilor, someone that you can talk to about the situation. Even though it is uncomfortable, it sort of sets you free.
That is the end of my rant. Yes, I probably sound stupid and it was long, but hey I tried. My friend has been through the same thing, and we were able to help her. So it was worth a shot. =F