211220212102200 has 192 divisors, whose sum is σ = 831470041440000. Its totient is φ = 48278905614720.

The previous prime is 211220212102181. The next prime is 211220212102267. The reversal of 211220212102200 is 2201212022112.

It is a happy number.

211220212102200 is a `hidden beast` number, since 2 + 1 + 1 + 220 + 212 + 10 + 220 + 0 = 666.

It is a super-2 number, since 2×211220212102200² (a number of 29 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2793880350 + ... + 2793955949.

It is an arithmetic number, because the mean of its divisors is an integer number (4330573132500).

Almost surely, 2^{211220212102200} is an apocalyptic number.

211220212102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220212102200 is an abundant number, since it is smaller than the sum of its proper divisors (620249829337800).

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

211220212102200 is a wasteful number, since it uses less digits than its factorization.

211220212102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5587836331 (or 5587836316 counting only the distinct ones).

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

Adding to 211220212102200 its reverse (2201212022112), we get a palindrome (213421424124312).

The spelling of 211220212102200 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred twelve million, one hundred two thousand, two hundred".