10012120104 has 64 divisors (see below), whose sum is σ = 29214720000. Its totient is φ = 2799739584.

The previous prime is 10012120073. The next prime is 10012120121. The reversal of 10012120104 is 40102121001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10012120104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626104 + ... + 641895.

It is an arithmetic number, because the mean of its divisors is an integer number (456480000).

Almost surely, 2^10012120104 is an apocalyptic number.

10012120104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10012120104 is an abundant number, since it is smaller than the sum of its proper divisors (19202599896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10012120104 is a wasteful number, since it uses less digits than its factorization.

10012120104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268062 (or 1268058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10012120104 its reverse (40102121001), we get a palindrome (50114241105).

The spelling of 10012120104 in words is "ten billion, twelve million, one hundred twenty thousand, one hundred four".