212102221002100 has 144 divisors (see below), whose sum is σ = 558169985834496. Its totient is φ = 68898533184000.

The previous prime is 212102221002079. The next prime is 212102221002127. The reversal of 212102221002100 is 1200122201212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238787719 + ... + 239674318.

It is an arithmetic number, because the mean of its divisors is an integer number (3876180457184).

Almost surely, 2^{212102221002100} is an apocalyptic number.

212102221002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102221002100 is an abundant number, since it is smaller than the sum of its proper divisors (346067764832396).

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

212102221002100 is a wasteful number, since it uses less digits than its factorization.

212102221002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478462106 (or 478462099 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212102221002100 its reverse (1200122201212), we get a palindrome (213302343203312).

The spelling of 212102221002100 in words is "two hundred twelve trillion, one hundred two billion, two hundred twenty-one million, two thousand, one hundred".