120211066252100 has 72 divisors (see below), whose sum is σ = 276476345709480. Its totient is φ = 45211077918720.

The previous prime is 120211066252061. The next prime is 120211066252171. The reversal of 120211066252100 is 1252660112021.

It can be written as a sum of positive squares in 12 ways, for example, as 5886727882564 + 114324338369536 = 2426258^2 + 10692256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33325529 + ... + 36756128.

It is an arithmetic number, because the mean of its divisors is an integer number (3839949245965).

Almost surely, 2^{120211066252100} is an apocalyptic number.

120211066252100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120211066252100 is an abundant number, since it is smaller than the sum of its proper divisors (156265279457380).

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

120211066252100 is a wasteful number, since it uses less digits than its factorization.

120211066252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70082697 (or 70082690 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The spelling of 120211066252100 in words is "one hundred twenty trillion, two hundred eleven billion, sixty-six million, two hundred fifty-two thousand, one hundred".