212112020222100 has 864 divisors, whose sum is σ = 704394902090880. Its totient is φ = 53331540480000.

The previous prime is 212112020222083. The next prime is 212112020222111. The reversal of 212112020222100 is 1222020211212.

It is a happy number.

212112020222100 is a `hidden beast` number, since 2 + 121 + 120 + 202 + 221 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30427771615 + ... + 30427778585.

It is an arithmetic number, because the mean of its divisors is an integer number (815271877420).

Almost surely, 2^{212112020222100} is an apocalyptic number.

212112020222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212112020222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352197451045440).

212112020222100 is an abundant number, since it is smaller than the sum of its proper divisors (492282881868780).

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

212112020222100 is a wasteful number, since it uses less digits than its factorization.

212112020222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7321 (or 7311 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212112020222100 its reverse (1222020211212), we get a palindrome (213334040433312).

The spelling of 212112020222100 in words is "two hundred twelve trillion, one hundred twelve billion, twenty million, two hundred twenty-two thousand, one hundred".