9900900090100 has 36 divisors (see below), whose sum is σ = 21496963060300. Its totient is φ = 3958146236160.

The previous prime is 9900900090073. The next prime is 9900900090113. The reversal of 9900900090100 is 10900090099.

It can be written as a sum of positive squares in 6 ways, for example, as 655384155364 + 9245515934736 = 809558^2 + 3040644^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9900900090100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27492705 + ... + 27850504.

Almost surely, 2^{9900900090100} is an apocalyptic number.

It is an amenable number.

9900900090100 is an abundant number, since it is smaller than the sum of its proper divisors (11596062970200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9900900090100 is a wasteful number, since it uses less digits than its factorization.

9900900090100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55345012 (or 55345005 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 37.

The spelling of 9900900090100 in words is "nine trillion, nine hundred billion, nine hundred million, ninety thousand, one hundred".