212100111200 has 72 divisors (see below), whose sum is σ = 517894633872. Its totient is φ = 84822801920.

The previous prime is 212100111137. The next prime is 212100111203. The reversal of 212100111200 is 2111001212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100111203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4357397 + ... + 4405803.

It is an arithmetic number, because the mean of its divisors is an integer number (7192981026).

Almost surely, 2^212100111200 is an apocalyptic number.

212100111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100111200 is an abundant number, since it is smaller than the sum of its proper divisors (305794522672).

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

212100111200 is a wasteful number, since it uses less digits than its factorization.

212100111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53904 (or 53891 counting only the distinct ones).

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

Adding to 212100111200 its reverse (2111001212), we get a palindrome (214211112412).

The spelling of 212100111200 in words is "two hundred twelve billion, one hundred million, one hundred eleven thousand, two hundred".