100009101009 has 24 divisors (see below), whose sum is σ = 139439914432. Its totient is φ = 63753449760.

The previous prime is 100009100959. The next prime is 100009101013. The reversal of 100009101009 is 900101900001.

It is not a de Polignac number, because 100009101009 - 2¹⁶ = 100009035473 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100009102009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6096999 + ... + 6113379.

Almost surely, 2^100009101009 is an apocalyptic number.

It is an amenable number.

100009101009 is a deficient number, since it is larger than the sum of its proper divisors (39430813423).

100009101009 is a wasteful number, since it uses less digits than its factorization.

100009101009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20277 (or 20254 counting only the distinct ones).

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

The spelling of 100009101009 in words is "one hundred billion, nine million, one hundred one thousand, nine".