211200022112100 has 288 divisors, whose sum is σ = 735608251392000. Its totient is φ = 46717054876800.

The previous prime is 211200022112077. The next prime is 211200022112137. The reversal of 211200022112100 is 1211220002112.

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 211200022112100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29914590 + ... + 36294389.

Almost surely, 2^{211200022112100} is an apocalyptic number.

211200022112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200022112100 is an abundant number, since it is smaller than the sum of its proper divisors (524408229279900).

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

211200022112100 is a wasteful number, since it uses less digits than its factorization.

211200022112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66209048 (or 66209027 counting only the distinct ones).

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

Adding to 211200022112100 its reverse (1211220002112), we get a palindrome (212411242114212).

The spelling of 211200022112100 in words is "two hundred eleven trillion, two hundred billion, twenty-two million, one hundred twelve thousand, one hundred".