100211210222120 has 64 divisors (see below), whose sum is σ = 226068530688000. Its totient is φ = 39979066641408.

The previous prime is 100211210222089. The next prime is 100211210222251. The reversal of 100211210222120 is 21222012112001.

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 15 ways as a sum of consecutive naturals, for example, 53093561 + ... + 54948599.

It is an arithmetic number, because the mean of its divisors is an integer number (3532320792000).

Almost surely, 2^{100211210222120} is an apocalyptic number.

100211210222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211210222120 is an abundant number, since it is smaller than the sum of its proper divisors (125857320465880).

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

100211210222120 is a wasteful number, since it uses less digits than its factorization.

100211210222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858602 (or 1858598 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100211210222120 its reverse (21222012112001), we get a palindrome (121433222334121).

The spelling of 100211210222120 in words is "one hundred trillion, two hundred eleven billion, two hundred ten million, two hundred twenty-two thousand, one hundred twenty".