100010900991 has 16 divisors (see below), whose sum is σ = 134007439104. Its totient is φ = 66344940864.

The previous prime is 100010900981. The next prime is 100010901019. The reversal of 100010900991 is 199009010001.

It is not a de Polignac number, because 100010900991 - 2⁷ = 100010900863 is a prime.

It is a super-4 number, since 4×100010900991⁴ (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010900921) 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, 408331 + ... + 605603.

It is an arithmetic number, because the mean of its divisors is an integer number (8375464944).

Almost surely, 2^100010900991 is an apocalyptic number.

100010900991 is a deficient number, since it is larger than the sum of its proper divisors (33996538113).

100010900991 is a wasteful number, since it uses less digits than its factorization.

100010900991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198110.

The product of its (nonzero) digits is 729, while the sum is 30.

Adding to 100010900991 its reverse (199009010001), we get a palindrome (299019910992).

It can be divided in two parts, 100010 and 900991, that added together give a palindrome (1001001).

The spelling of 100010900991 in words is "one hundred billion, ten million, nine hundred thousand, nine hundred ninety-one".