22121021222100 has 144 divisors (see below), whose sum is σ = 71819096408640. Its totient is φ = 5840533584000.

The previous prime is 22121021222063. The next prime is 22121021222117. The reversal of 22121021222100 is 122212012122.

It is a happy number.

22121021222100 is a `hidden beast` number, since 2 + 21 + 210 + 212 + 221 + 0 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40286562 + ... + 40831961.

It is an arithmetic number, because the mean of its divisors is an integer number (498743725060).

Almost surely, 2^{22121021222100} is an apocalyptic number.

22121021222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121021222100 is an abundant number, since it is smaller than the sum of its proper divisors (49698075186540).

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

22121021222100 is a wasteful number, since it uses less digits than its factorization.

22121021222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81118647 (or 81118634 counting only the distinct ones).

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

Adding to 22121021222100 its reverse (122212012122), we get a palindrome (22243233234222).

The spelling of 22121021222100 in words is "twenty-two trillion, one hundred twenty-one billion, twenty-one million, two hundred twenty-two thousand, one hundred".