120212112100100 has 72 divisors (see below), whose sum is σ = 261178154340768. Its totient is φ = 48026267660800.

The previous prime is 120212112100057. The next prime is 120212112100103. The reversal of 120212112100100 is 1001211212021.

It is not an unprimeable number, because it can be changed into a prime (120212112100103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 601529195 + ... + 601729005.

It is an arithmetic number, because the mean of its divisors is an integer number (3627474365844).

Almost surely, 2^{120212112100100} is an apocalyptic number.

120212112100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120212112100100 is an abundant number, since it is smaller than the sum of its proper divisors (140966042240668).

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

120212112100100 is a wasteful number, since it uses less digits than its factorization.

120212112100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207125 (or 207118 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120212112100100 its reverse (1001211212021), we get a palindrome (121213323312121).

The spelling of 120212112100100 in words is "one hundred twenty trillion, two hundred twelve billion, one hundred twelve million, one hundred thousand, one hundred".