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Noobita

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I need to design a gearbox (just want to design it for my electric motor) that will reduce the input speed of 11000 to 55 rpm, so my gearbox ratio will be 200:1. The input torque is about 20mNm. I'm thinking about a 5/6 stage gearbox (don't know if this is the appropriate designation, the gearbox will have 5/6 gears, counting the pinion in motor as a gear and the shaft as a gear).

To know the required number of teeth, as the gearbox will have space constraints (30x40mm) how can i know determine the circular pitch of each gear?

And do you have also some recommendations? I already saw here in the forum that the gears have a prime number of teeths and that contacting gears shouldn't have the same number of teeths (but gears that are in contacting can have the same number of teeths?) .

Grateful