21211122112200 has 288 divisors, whose sum is σ = 73179931244160. Its totient is φ = 5501871475200.

The previous prime is 21211122112199. The next prime is 21211122112211. The reversal of 21211122112200 is 221122111212.

21211122112200 is a `hidden beast` number, since 2 + 121 + 112 + 211 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 245777457 + ... + 245863743.

Almost surely, 2^{21211122112200} is an apocalyptic number.

21211122112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211122112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36589965622080).

21211122112200 is an abundant number, since it is smaller than the sum of its proper divisors (51968809131960).

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

21211122112200 is a wasteful number, since it uses less digits than its factorization.

21211122112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90037 (or 90025 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21211122112200 its reverse (221122111212), we get a palindrome (21432244223412).

The spelling of 21211122112200 in words is "twenty-one trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twelve thousand, two hundred".