100100100009 has 128 divisors (see below), whose sum is σ = 176696045568. Its totient is φ = 48910417920.

The previous prime is 100100099987. The next prime is 100100100011. The reversal of 100100100009 is 900001001001.

It is not a de Polignac number, because 100100100009 - 2⁵ = 100100099977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100099967 and 100100100003.

It is not an unprimeable number, because it can be changed into a prime (100100100059) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85481994 + ... + 85483164.

It is an arithmetic number, because the mean of its divisors is an integer number (1380437856).

Almost surely, 2^100100100009 is an apocalyptic number.

It is an amenable number.

100100100009 is a deficient number, since it is larger than the sum of its proper divisors (76595945559).

100100100009 is a wasteful number, since it uses less digits than its factorization.

100100100009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487.

The product of its (nonzero) digits is 9, while the sum is 12.

The spelling of 100100100009 in words is "one hundred billion, one hundred million, one hundred thousand, nine".