error 2001 when restoring

This error means that iTunes cannot maintain a USB connection with the phone. It can be a bad cable, dirt in the connector, or using a hub rather than a direct connection to a USB port on the computer. Try disconnecting all USB devices except keyboard and mouse, and use a direct port, on the back of the computer if it has connections on both front and back.

If this does not resolve the problem tell us what kind of computer and operating system you have.

Getting the same error with 1st Gen iPad. Using macbook air 2011 with Mountain Lion; latest versions of OS X and iTunes

See this tip: http://support.apple.com/kb/TS3694#error2001

If you are using a hub, stop using the hub. And see my previous message.

Thank you Lawrence! After reading that page I know exactly what my problem is!