100910811001 has 32 divisors (see below), whose sum is σ = 135526809600. Its totient is φ = 72562754880.

The previous prime is 100910810989. The next prime is 100910811017. The reversal of 100910811001 is 100118019001.

It is not a de Polignac number, because 100910811001 - 2²³ = 100902422393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100910811091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4151040 + ... + 4175278.

It is an arithmetic number, because the mean of its divisors is an integer number (4235212800).

Almost surely, 2^100910811001 is an apocalyptic number.

100910811001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100910811001 is a deficient number, since it is larger than the sum of its proper divisors (34615998599).

100910811001 is a wasteful number, since it uses less digits than its factorization.

100910811001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28429.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 100910811001 in words is "one hundred billion, nine hundred ten million, eight hundred eleven thousand, one".