900100100000011 has 16 divisors (see below), whose sum is σ = 985950680855040. Its totient is φ = 817907825136640.

The previous prime is 900100099999931. The next prime is 900100100000027. The reversal of 900100100000011 is 110000001001009.

It is not a de Polignac number, because 900100100000011 - 2⁷ = 900100099999883 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 900100099999937 and 900100100000000.

It is not an unprimeable number, because it can be changed into a prime (900100100000111) 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, 24648610 + ... + 49068871.

It is an arithmetic number, because the mean of its divisors is an integer number (61621917553440).

Almost surely, 2^{900100100000011} is an apocalyptic number.

900100100000011 is a deficient number, since it is larger than the sum of its proper divisors (85850580855029).

900100100000011 is a wasteful number, since it uses less digits than its factorization.

900100100000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73742294.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 900100100000011 in words is "nine hundred trillion, one hundred billion, one hundred million, eleven", and thus it is an aban number.