212100212102100 has 72 divisors (see below), whose sum is σ = 701344701357888. Its totient is φ = 48480048480000.

The previous prime is 212100212102069. The next prime is 212100212102123. The reversal of 212100212102100 is 1201212001212.

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 212100212102100.

It is a congruent number.

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, 50500048401 + ... + 50500052600.

Almost surely, 2^{212100212102100} is an apocalyptic number.

212100212102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100212102100 is an abundant number, since it is smaller than the sum of its proper divisors (489244489255788).

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

212100212102100 is a wasteful number, since it uses less digits than its factorization.

212100212102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101000101025 (or 101000101018 counting only the distinct ones).

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

Adding to 212100212102100 its reverse (1201212001212), we get a palindrome (213301424103312).

The spelling of 212100212102100 in words is "two hundred twelve trillion, one hundred billion, two hundred twelve million, one hundred two thousand, one hundred".