100000100010009 has 16 divisors (see below), whose sum is σ = 136440195674112. Its totient is φ = 65113504086288.

The previous prime is 100000100010001. The next prime is 100000100010017. The reversal of 100000100010009 is 900010001000001.

It is an interprime number because it is at equal distance from previous prime (100000100010001) and next prime (100000100010017).

It is not a de Polignac number, because 100000100010009 - 2³ = 100000100010001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100000100009976 and 100000100010003.

It is not an unprimeable number, because it can be changed into a prime (100000100010001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13934277 + ... + 19853570.

It is an arithmetic number, because the mean of its divisors is an integer number (8527512229632).

Almost surely, 2^{100000100010009} is an apocalyptic number.

It is an amenable number.

100000100010009 is a deficient number, since it is larger than the sum of its proper divisors (36440095664103).

100000100010009 is a wasteful number, since it uses less digits than its factorization.

100000100010009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33810836.

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

The spelling of 100000100010009 in words is "one hundred trillion, one hundred million, ten thousand, nine".