22202110102200 has 576 divisors, whose sum is σ = 84825373016160. Its totient is φ = 4773309972480.

The previous prime is 22202110102091. The next prime is 22202110102241. The reversal of 22202110102200 is 220101120222.

It is a super-2 number, since 2×22202110102200² (a number of 27 digits) contains 22 as substring.

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 22202110102200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 866140584 + ... + 866166216.

Almost surely, 2^{22202110102200} is an apocalyptic number.

22202110102200 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 22202110102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42412686508080).

22202110102200 is an abundant number, since it is smaller than the sum of its proper divisors (62623262913960).

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

22202110102200 is a wasteful number, since it uses less digits than its factorization.

22202110102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27416 (or 27400 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22202110102200 its reverse (220101120222), we get a palindrome (22422211222422).

The spelling of 22202110102200 in words is "twenty-two trillion, two hundred two billion, one hundred ten million, one hundred two thousand, two hundred".