21121022122200 has 2304 divisors, whose sum is σ = 101118652992000. Its totient is φ = 3982099968000.

The previous prime is 21121022122199. The next prime is 21121022122231. The reversal of 21121022122200 is 222122012112.

It is a happy number.

21121022122200 is a `hidden beast` number, since 2 + 11 + 210 + 221 + 2 + 220 + 0 = 666.

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 polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2232425470 + ... + 2232434930.

It is an arithmetic number, because the mean of its divisors is an integer number (43888304250).

Almost surely, 2^{21121022122200} is an apocalyptic number.

21121022122200 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 21121022122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50559326496000).

21121022122200 is an abundant number, since it is smaller than the sum of its proper divisors (79997630869800).

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

21121022122200 is a wasteful number, since it uses less digits than its factorization.

21121022122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9583 (or 9561 counting only the distinct ones).

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

Adding to 21121022122200 its reverse (222122012112), we get a palindrome (21343144134312).

The spelling of 21121022122200 in words is "twenty-one trillion, one hundred twenty-one billion, twenty-two million, one hundred twenty-two thousand, two hundred".