90100100111011 has 16 divisors (see below), whose sum is σ = 97202325996000. Its totient is φ = 83198193914368.

The previous prime is 90100100110967. The next prime is 90100100111027. The reversal of 90100100111011 is 11011100100109.

It is a cyclic number.

It is not a de Polignac number, because 90100100111011 - 2⁷ = 90100100110883 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90100100111051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39155205 + ... + 41392393.

It is an arithmetic number, because the mean of its divisors is an integer number (6075145374750).

Almost surely, 2^{90100100111011} is an apocalyptic number.

90100100111011 is a deficient number, since it is larger than the sum of its proper divisors (7102225884989).

90100100111011 is a wasteful number, since it uses less digits than its factorization.

90100100111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281958.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 90100100111011 in words is "ninety trillion, one hundred billion, one hundred million, one hundred eleven thousand, eleven".