10-20 eggs...you know, I am pro-egg but 10 eggs a day = ~60g fat of which 4g will be cholesterol. 4g is quite a lot from dietary intake...
Aside from that, just eating eggs isn't enough. Eggs do have good amino-acid profiles but it's not ideal, your body wants a diverse supply of different proteins. It's just not enough to eat a lot of one thing.
Keep it diverse, that way you will get a more complete amino-acid intake and won't get bored. And while cholesterol isn't the problem specifically (LDL, the transporter of cholesterol is) eating 10 eggs equates to around an eighth of your bodies own cholesterol production. An eighth per day, everyday, won't go unnoticed and is overkill imo.