212202221021100 has 144 divisors (see below), whose sum is σ = 688566460176000. Its totient is φ = 56058405975360.

The previous prime is 212202221021099. The next prime is 212202221021123. The reversal of 212202221021100 is 1120122202212.

It is a happy number.

212202221021100 is a `hidden beast` number, since 2 + 1 + 220 + 22 + 210 + 211 + 0 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 366970050 + ... + 367547849.

It is an arithmetic number, because the mean of its divisors is an integer number (4781711529000).

Almost surely, 2^{212202221021100} is an apocalyptic number.

212202221021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202221021100 is an abundant number, since it is smaller than the sum of its proper divisors (476364239154900).

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

212202221021100 is a wasteful number, since it uses less digits than its factorization.

212202221021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734518029 (or 734518016 counting only the distinct ones).

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

Adding to 212202221021100 its reverse (1120122202212), we get a palindrome (213322343223312).

The spelling of 212202221021100 in words is "two hundred twelve trillion, two hundred two billion, two hundred twenty-one million, twenty-one thousand, one hundred".