Re: stuck at Android 4.1.1
Welcome to the AC Forums!
Well, sorry to say that the Galaxy Tab 2 10.1 is stuck on 4.1.1 (4.1.2 for the AT&T version) as official updates go. If you really want the latest available version of Android you'll have to root and install custom ROMs. However, I wouldn't advise it unless you really understand the process since you can brick the device and end up with a tablet that is no longer functional.
is there a specific reason why you want to update the device other than wanting to be on the latest and greatest?