120012100100009 has 32 divisors (see below), whose sum is σ = 133940291358720. Its totient is φ = 106846428091392.

The previous prime is 120012100099939. The next prime is 120012100100023. The reversal of 120012100100009 is 900001001210021.

It is a cyclic number.

It is not a de Polignac number, because 120012100100009 - 2⁸ = 120012100099753 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 120012100100009.

It is not an unprimeable number, because it can be changed into a prime (120012100100069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1822232 + ... + 15599510.

It is an arithmetic number, because the mean of its divisors is an integer number (4185634104960).

Almost surely, 2^{120012100100009} is an apocalyptic number.

It is an amenable number.

120012100100009 is a deficient number, since it is larger than the sum of its proper divisors (13928191258711).

120012100100009 is a wasteful number, since it uses less digits than its factorization.

120012100100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13777569.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 120012100100009 in words is "one hundred twenty trillion, twelve billion, one hundred million, one hundred thousand, nine".