212100112100 has 36 divisors (see below), whose sum is σ = 475104258048. Its totient is φ = 82103268000.

The previous prime is 212100112097. The next prime is 212100112123. The reversal of 212100112100 is 1211001212.

212100112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34206596 + ... + 34212795.

Almost surely, 2^212100112100 is an apocalyptic number.

212100112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100112100 is an abundant number, since it is smaller than the sum of its proper divisors (263004145948).

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

212100112100 is a wasteful number, since it uses less digits than its factorization.

212100112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68419436 (or 68419429 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212100112100 its reverse (1211001212), we get a palindrome (213311113312).

The spelling of 212100112100 in words is "two hundred twelve billion, one hundred million, one hundred twelve thousand, one hundred".