212211120100200 has 192 divisors, whose sum is σ = 712416536798400. Its totient is φ = 51944758579200.

The previous prime is 212211120100169. The next prime is 212211120100241. The reversal of 212211120100200 is 2001021112212.

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 212211120100200.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 74599761 + ... + 77392160.

It is an arithmetic number, because the mean of its divisors is an integer number (3710502795825).

Almost surely, 2^{212211120100200} is an apocalyptic number.

212211120100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211120100200 is an abundant number, since it is smaller than the sum of its proper divisors (500205416698200).

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

212211120100200 is a wasteful number, since it uses less digits than its factorization.

212211120100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151992132 (or 151992123 counting only the distinct ones).

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

Adding to 212211120100200 its reverse (2001021112212), we get a palindrome (214212141212412).

The spelling of 212211120100200 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred twenty million, one hundred thousand, two hundred".