21121122202200 has 288 divisors, whose sum is σ = 73667390565600. Its totient is φ = 5418499553280.

The previous prime is 21121122202199. The next prime is 21121122202223. The reversal of 21121122202200 is 220222112112.

It is a happy number.

21121122202200 is a `hidden beast` number, since 2 + 11 + 211 + 2 + 220 + 220 + 0 = 666.

It is a super-2 number, since 2×21121122202200² (a number of 27 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 (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4145749 + ... + 7709051.

It is an arithmetic number, because the mean of its divisors is an integer number (255789550575).

Almost surely, 2^{21121122202200} is an apocalyptic number.

21121122202200 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 21121122202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36833695282800).

21121122202200 is an abundant number, since it is smaller than the sum of its proper divisors (52546268363400).

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

21121122202200 is a wasteful number, since it uses less digits than its factorization.

21121122202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563451 (or 3563439 counting only the distinct ones).

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

Adding to 21121122202200 its reverse (220222112112), we get a palindrome (21341344314312).

The spelling of 21121122202200 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred two thousand, two hundred".