101210012119972 has 72 divisors (see below), whose sum is σ = 214997423812416. Its totient is φ = 41488906358592.

The previous prime is 101210012119969. The next prime is 101210012120003. The reversal of 101210012119972 is 279911210012101.

It is an unprimeable number.

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, 228257478 + ... + 228700450.

It is an arithmetic number, because the mean of its divisors is an integer number (2986075330728).

Almost surely, 2^{101210012119972} is an apocalyptic number.

It is an amenable number.

101210012119972 is an abundant number, since it is smaller than the sum of its proper divisors (113787411692444).

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

101210012119972 is a wasteful number, since it uses less digits than its factorization.

101210012119972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493697 (or 493688 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 37.

The spelling of 101210012119972 in words is "one hundred one trillion, two hundred ten billion, twelve million, one hundred nineteen thousand, nine hundred seventy-two".