Battery with 3.7v and 9900mAh , is that enough to know the output current?
3.7 V, and 9900 mAh. From these figures, can I calculate the maximum output current from the battery?

No.

The battery capacity, such as expressed in mAh, tells you how much total charge (current times time) the battery can deliver.  It does not tell you the rate it can deliver that charge in.  That is a separate spec called maximum current.

Most batteries can deliver current at least at the 1 hour rate.  This is also often called the "1C" rate.  For your 9.9 Ah battery, that would be 9.9 A.

However, any combination of current and time that comes out to the capacity spec won't work.  You have to read the datasheet carefully.  A 100 mAh battery, for example, can probably deliver 100 mA for 1 hour.  Maybe it can deliver 200 mA for 30 minutes.  However, 6 A for 1 minute is quite unlikely, and 36 A for 10 seconds is absurd.