212012120021100 has 72 divisors (see below), whose sum is σ = 701053410210048. Its totient is φ = 48459913147200.

The previous prime is 212012120021089. The next prime is 212012120021113. The reversal of 212012120021100 is 1120021210212.

It is a super-2 number, since 2×212012120021100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212012120021100.

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, 50479074096 + ... + 50479078295.

It is an arithmetic number, because the mean of its divisors is an integer number (9736852919584).

Almost surely, 2^{212012120021100} is an apocalyptic number.

212012120021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012120021100 is an abundant number, since it is smaller than the sum of its proper divisors (489041290188948).

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

212012120021100 is a wasteful number, since it uses less digits than its factorization.

212012120021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100958152415 (or 100958152408 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212012120021100 its reverse (1120021210212), we get a palindrome (213132141231312).

The spelling of 212012120021100 in words is "two hundred twelve trillion, twelve billion, one hundred twenty million, twenty-one thousand, one hundred".