If you are running Android 2.1+ use "Network Info II"
This means most devices manufactured since mid 2010
Donate version available, buy me a coffee :)
Shows info about the phone and the current net connection.
Can also display the public/external IP address & hostname.
Only goes online to get the public IP via whatismyip.org and resolve it.
Please email me with any bugs/problems/feature requests. I cannot reply to market comments which can make debugging difficult.