22121022212100 has 324 divisors, whose sum is σ = 80668348239024. Its totient is φ = 5055551141760.

The previous prime is 22121022212063. The next prime is 22121022212101. The reversal of 22121022212100 is 121222012122.

It is a happy number.

22121022212100 is a `hidden beast` number, since 2 + 21 + 210 + 2 + 221 + 210 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22121022212101) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 373365079 + ... + 373424321.

Almost surely, 2^{22121022212100} is an apocalyptic number.

22121022212100 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 22121022212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40334174119512).

22121022212100 is an abundant number, since it is smaller than the sum of its proper divisors (58547326026924).

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

22121022212100 is a wasteful number, since it uses less digits than its factorization.

22121022212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67744 (or 67727 counting only the distinct ones).

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

Adding to 22121022212100 its reverse (121222012122), we get a palindrome (22242244224222).

The spelling of 22121022212100 in words is "twenty-two trillion, one hundred twenty-one billion, twenty-two million, two hundred twelve thousand, one hundred".