I literally could not enter the 2-factor code into my Galaxy Nexus running 4.1.1. The process asked for my password, then redirected to Chrome to finish the process, which asked me for a code. I then switched to the Authenticator app to get the code, but then I couldn't switch back to the place to enter it. Whhaaaaa??? I tried this 3 times looking everywhere.
I finally gave up and turned off 2-factor auth. I'm guessing this is a limitation in 4.1.1, but it really, really sucks.