100111002009 has 16 divisors (see below), whose sum is σ = 137196318720. Its totient is φ = 64886002560.

The previous prime is 100111002001. The next prime is 100111002073. The reversal of 100111002009 is 900200111001.

It is not a de Polignac number, because 100111002009 - 2³ = 100111002001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100111002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210612 + ... + 494549.

It is an arithmetic number, because the mean of its divisors is an integer number (8574769920).

Almost surely, 2^100111002009 is an apocalyptic number.

It is an amenable number.

100111002009 is a deficient number, since it is larger than the sum of its proper divisors (37085316711).

100111002009 is a wasteful number, since it uses less digits than its factorization.

100111002009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706480.

The product of its (nonzero) digits is 18, while the sum is 15.

The spelling of 100111002009 in words is "one hundred billion, one hundred eleven million, two thousand, nine".