100009100091 has 16 divisors (see below), whose sum is σ = 133640657280. Its totient is φ = 66525243840.

The previous prime is 100009100041. The next prime is 100009100137. The reversal of 100009100091 is 190001900001.

It is not a de Polignac number, because 100009100091 - 2⁶ = 100009100027 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100009100041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4276711 + ... + 4300031.

It is an arithmetic number, because the mean of its divisors is an integer number (8352541080).

Almost surely, 2^100009100091 is an apocalyptic number.

100009100091 is a deficient number, since it is larger than the sum of its proper divisors (33631557189).

100009100091 is a wasteful number, since it uses less digits than its factorization.

100009100091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26426.

The product of its (nonzero) digits is 81, while the sum is 21.

The spelling of 100009100091 in words is "one hundred billion, nine million, one hundred thousand, ninety-one".