22221102101200 has 120 divisors (see below), whose sum is σ = 55111450141440. Its totient is φ = 8601230438400.

The previous prime is 22221102101167. The next prime is 22221102101213. The reversal of 22221102101200 is 210120112222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282891531 + ... + 282970069.

It is an arithmetic number, because the mean of its divisors is an integer number (459262084512).

Almost surely, 2^{22221102101200} is an apocalyptic number.

22221102101200 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 22221102101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27555725070720).

22221102101200 is an abundant number, since it is smaller than the sum of its proper divisors (32890348040240).

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

22221102101200 is a wasteful number, since it uses less digits than its factorization.

22221102101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101405 (or 101394 counting only the distinct ones).

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

Adding to 22221102101200 its reverse (210120112222), we get a palindrome (22431222213422).

The spelling of 22221102101200 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred two million, one hundred one thousand, two hundred".