22221110202100 has 288 divisors, whose sum is σ = 52585709299200. Its totient is φ = 8122669632000.

The previous prime is 22221110202079. The next prime is 22221110202101. The reversal of 22221110202100 is 120201112222.

It is a happy number.

It is a super-2 number, since 2×22221110202100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221110202101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3457459087 + ... + 3457465513.

It is an arithmetic number, because the mean of its divisors is an integer number (182589268400).

Almost surely, 2^{22221110202100} is an apocalyptic number.

22221110202100 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 22221110202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26292854649600).

22221110202100 is an abundant number, since it is smaller than the sum of its proper divisors (30364599097100).

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

22221110202100 is a wasteful number, since it uses less digits than its factorization.

22221110202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7023 (or 7016 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22221110202100 its reverse (120201112222), we get a palindrome (22341311314322).

The spelling of 22221110202100 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred ten million, two hundred two thousand, one hundred".