9900009000100 has 36 divisors (see below), whose sum is σ = 21485135582064. Its totient is φ = 3959613544480.

The previous prime is 9900009000083. The next prime is 9900009000131. The reversal of 9900009000100 is 10009000099.

It is a super-2 number, since 2×9900009000100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3854314 + ... + 5886913.

It is an arithmetic number, because the mean of its divisors is an integer number (596809321724).

Almost surely, 2^{9900009000100} is an apocalyptic number.

It is an amenable number.

9900009000100 is an abundant number, since it is smaller than the sum of its proper divisors (11585126581964).

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

9900009000100 is a wasteful number, since it uses less digits than its factorization.

9900009000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9751404 (or 9751397 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 28.

The spelling of 9900009000100 in words is "nine trillion, nine hundred billion, nine million, one hundred", and thus it is an aban number.