22021122212100 has 216 divisors, whose sum is σ = 75304199722752. Its totient is φ = 5338077561600.

The previous prime is 22021122212087. The next prime is 22021122212129. The reversal of 22021122212100 is 121222112022.

It is a happy number.

22021122212100 is a `hidden beast` number, since 2 + 20 + 211 + 2 + 221 + 210 + 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, 156082189 + ... + 156223211.

It is an arithmetic number, because the mean of its divisors is an integer number (348630554272).

Almost surely, 2^{22021122212100} is an apocalyptic number.

22021122212100 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 22021122212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37652099861376).

22021122212100 is an abundant number, since it is smaller than the sum of its proper divisors (53283077510652).

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

22021122212100 is a wasteful number, since it uses less digits than its factorization.

22021122212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156827 (or 156817 counting only the distinct ones).

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

Adding to 22021122212100 its reverse (121222112022), we get a palindrome (22142344324122).

It can be divided in two parts, 22021122 and 212100, that added together give a palindrome (22233222).

The spelling of 22021122212100 in words is "twenty-two trillion, twenty-one billion, one hundred twenty-two million, two hundred twelve thousand, one hundred".