There are aftermarket chargers for the note 10.1 available, and Samsung can supply an original, if expensive, one. I'm not sure where you are, but:
USA - Samsung Galaxy Note 10.1 Accessories
UK: Amazon.co.uk: samsung galaxy note 10.1 charger
I know this is old, but:
I work in China, so this was all of ?1.50! :-)
A similar device at Amazon.
Now any USB charger will work.
I wouldn't use this on a computers USB port as it probably draws too much power. ? think it draws 2.1 amps. Perhaps somebody more technical can chime in here.