This number is a probable-prime (likely to be a prime but we have not (re-)proven it on this site).
Dario Alejandro Alpern’s Applet has now been changed to allow displaying up to 100,001 digits at 2^332196. This means that 2^332196-1-2*29696 is the largest probable prime that can be typed into it without an error as of the way it’s programmed on November 14, 2018. Discovered with WinPFGW. [Stath]