22221101100 has 288 divisors, whose sum is σ = 72651350016. Its totient is φ = 5196441600.

The previous prime is 22221101087. The next prime is 22221101101. The reversal of 22221101100 is 110112222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (22221101101) 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, 15505984 + ... + 15507416.

It is an arithmetic number, because the mean of its divisors is an integer number (252261632).

Almost surely, 2^22221101100 is an apocalyptic number.

22221101100 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 22221101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36325675008).

22221101100 is an abundant number, since it is smaller than the sum of its proper divisors (50430248916).

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

22221101100 is a wasteful number, since it uses less digits than its factorization.

22221101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22221101100 its reverse (110112222), we get a palindrome (22331213322).

It can be divided in two parts, 22221 and 101100, that added together give a palindrome (123321).

The spelling of 22221101100 in words is "twenty-two billion, two hundred twenty-one million, one hundred one thousand, one hundred".