22221102110100 has 288 divisors, whose sum is σ = 66356419584000. Its totient is φ = 5737100659200.

The previous prime is 22221102110047. The next prime is 22221102110131. The reversal of 22221102110100 is 101120112222.

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 22221102110100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2136844701 + ... + 2136855099.

Almost surely, 2^{22221102110100} is an apocalyptic number.

22221102110100 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 22221102110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33178209792000).

22221102110100 is an abundant number, since it is smaller than the sum of its proper divisors (44135317473900).

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

22221102110100 is a wasteful number, since it uses less digits than its factorization.

22221102110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11383 (or 11376 counting only the distinct ones).

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

Adding to 22221102110100 its reverse (101120112222), we get a palindrome (22322222222322).

The spelling of 22221102110100 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred two million, one hundred ten thousand, one hundred".