120112122102100 has 72 divisors (see below), whose sum is σ = 261317960517600. Its totient is φ = 47920534569600.

The previous prime is 120112122102067. The next prime is 120112122102103. The reversal of 120112122102100 is 1201221211021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120112122102103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209674866 + ... + 210246934.

It is an arithmetic number, because the mean of its divisors is an integer number (3629416118300).

Almost surely, 2^{120112122102100} is an apocalyptic number.

120112122102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120112122102100 is an abundant number, since it is smaller than the sum of its proper divisors (141205838415500).

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

120112122102100 is a wasteful number, since it uses less digits than its factorization.

120112122102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577513 (or 577506 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120112122102100 its reverse (1201221211021), we get a palindrome (121313343313121).

The spelling of 120112122102100 in words is "one hundred twenty trillion, one hundred twelve billion, one hundred twenty-two million, one hundred two thousand, one hundred".