22122201212100 has 216 divisors, whose sum is σ = 75648004155360. Its totient is φ = 5362710912000.

The previous prime is 22122201212087. The next prime is 22122201212113. The reversal of 22122201212100 is 121210222122.

It is a happy number.

22122201212100 is a `hidden beast` number, since 2 + 212 + 220 + 1 + 21 + 210 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22122201212087) and next prime (22122201212113).

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

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, 308240220 + ... + 308311980.

It is an arithmetic number, because the mean of its divisors is an integer number (350222241460).

Almost surely, 2^{22122201212100} is an apocalyptic number.

22122201212100 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 22122201212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37824002077680).

22122201212100 is an abundant number, since it is smaller than the sum of its proper divisors (53525802943260).

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

22122201212100 is a wasteful number, since it uses less digits than its factorization.

22122201212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102931 (or 102921 counting only the distinct ones).

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

Adding to 22122201212100 its reverse (121210222122), we get a palindrome (22243411434222).

The spelling of 22122201212100 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred one million, two hundred twelve thousand, one hundred".