212102212202100 has 108 divisors (see below), whose sum is σ = 725261018969760. Its totient is φ = 51418718107200.

The previous prime is 212102212202093. The next prime is 212102212202129. The reversal of 212102212202100 is 1202212201212.

It is a happy number.

212102212202100 is a `hidden beast` number, since 2 + 1 + 2 + 10 + 221 + 220 + 210 + 0 = 666.

212102212202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 10712223040 + ... + 10712242839.

Almost surely, 2^{212102212202100} is an apocalyptic number.

212102212202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102212202100 is an abundant number, since it is smaller than the sum of its proper divisors (513158806767660).

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

212102212202100 is a wasteful number, since it uses less digits than its factorization.

212102212202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21424465910 (or 21424465900 counting only the distinct ones).

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

Adding to 212102212202100 its reverse (1202212201212), we get a palindrome (213304424403312).

The spelling of 212102212202100 in words is "two hundred twelve trillion, one hundred two billion, two hundred twelve million, two hundred two thousand, one hundred".