123120100129 has 16 divisors (see below), whose sum is σ = 132869458624. Its totient is φ = 113410756800.

The previous prime is 123120100057. The next prime is 123120100157. The reversal of 123120100129 is 921001021321.

It is a cyclic number.

It is not a de Polignac number, because 123120100129 - 2¹⁹ = 123119575841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123120100429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20370982 + ... + 20377024.

It is an arithmetic number, because the mean of its divisors is an integer number (8304341164).

Almost surely, 2^123120100129 is an apocalyptic number.

It is an amenable number.

123120100129 is a deficient number, since it is larger than the sum of its proper divisors (9749358495).

123120100129 is a wasteful number, since it uses less digits than its factorization.

123120100129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9088.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 123120100129 in words is "one hundred twenty-three billion, one hundred twenty million, one hundred thousand, one hundred twenty-nine".