212122112021100 has 72 divisors (see below), whose sum is σ = 681933308283920. Its totient is φ = 56565896538240.

The previous prime is 212122112021089. The next prime is 212122112021101. The reversal of 212122112021100 is 1120211221212.

212122112021100 is a `hidden beast` number, since 212 + 1 + 221 + 1 + 20 + 211 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212122112021101) 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, 39281869897 + ... + 39281875296.

Almost surely, 2^{212122112021100} is an apocalyptic number.

212122112021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122112021100 is an abundant number, since it is smaller than the sum of its proper divisors (469811196262820).

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

212122112021100 is a wasteful number, since it uses less digits than its factorization.

212122112021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78563745216 (or 78563745203 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212122112021100 its reverse (1120211221212), we get a palindrome (213242323242312).

The spelling of 212122112021100 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred twelve million, twenty-one thousand, one hundred".