Hi Gaby
We have not tested on a 5V 2.1 amp battery pack.i think the voltage is safe to your Asiair.
It is better to make sure there is no low voltage reminder on you app
we often use the Portable lithium battery for the outdoor test
Some of its parameters:
battery capacity:6800Mah(One of the specifications)
The output voltage:12V
Output current:3A