MacBook Pro 15" Early 2011, top right corner of the screen getting too hot
First the Sleep


use Pmset -g in Terminal to find out what is keeping it awake (publish here)


second the HOT ! as rule of thumb anything above 50 Dgr Celsius would be hot for us, anything above 60 Dgr Celsius we almost can not touch.


However, your computer can handle that with no problem.

If you want to do more try running the Apple Hardware test to see if it comes with anything.

Press D during startup  Start up in Apple Hardware Test (AHT).