100000010009 has 16 divisors (see below), whose sum is σ = 101356130304. Its totient is φ = 98651784000.

The previous prime is 100000009997. The next prime is 100000010039. The reversal of 100000010009 is 900010000001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100000010009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100000010039) 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, 47369864 + ... + 47371974.

It is an arithmetic number, because the mean of its divisors is an integer number (6334758144).

Almost surely, 2^100000010009 is an apocalyptic number.

It is an amenable number.

100000010009 is a deficient number, since it is larger than the sum of its proper divisors (1356120295).

100000010009 is a wasteful number, since it uses less digits than its factorization.

100000010009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688.

The product of its (nonzero) digits is 9, while the sum is 11.

The spelling of 100000010009 in words is "one hundred billion, ten thousand, nine".