12120010000100 has 36 divisors (see below), whose sum is σ = 26319746332068. Its totient is φ = 4844441856000.

The previous prime is 12120010000013. The next prime is 12120010000183. The reversal of 12120010000100 is 100001002121.

It can be written as a sum of positive squares in 6 ways, for example, as 4833076877476 + 7286933122624 = 2198426^2 + 2699432^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 44390021 + ... + 44662220.

Almost surely, 2^{12120010000100} is an apocalyptic number.

12120010000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120010000100 is an abundant number, since it is smaller than the sum of its proper divisors (14199736331968).

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

12120010000100 is a wasteful number, since it uses less digits than its factorization.

12120010000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89053616 (or 89053609 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12120010000100 its reverse (100001002121), we get a palindrome (12220011002221).

The spelling of 12120010000100 in words is "twelve trillion, one hundred twenty billion, ten million, one hundred", and thus it is an aban number.