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.
Several google tools don't have support for the standard 2-factor auth. Instead, you have to create a single use password for those devices. Watch the video on Cutts blog for info on how it works.
This was my android phone I'm talking about. It's clearly a bug in something on the phone. This isn't some "google tool".
I used 2-factor auth before on my phone (a much earlier version of android) and didn't have this problem. It's the typical thing with google: being on the bleed edge is just that, a pretty unsatisfying experience. I think next time a new android version comes out, I may wait a few months before I update.
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.