22202101112100 has 288 divisors, whose sum is σ = 79078287998976. Its totient is φ = 4683449203200.

The previous prime is 22202101112083. The next prime is 22202101112131. The reversal of 22202101112100 is 121110120222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22202101112100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138795165 + ... + 138955035.

Almost surely, 2^{22202101112100} is an apocalyptic number.

22202101112100 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 22202101112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39539143999488).

22202101112100 is an abundant number, since it is smaller than the sum of its proper divisors (56876186886876).

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

22202101112100 is a wasteful number, since it uses less digits than its factorization.

22202101112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164995 (or 164988 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22202101112100 its reverse (121110120222), we get a palindrome (22323211232322).

The spelling of 22202101112100 in words is "twenty-two trillion, two hundred two billion, one hundred one million, one hundred twelve thousand, one hundred".