22221100100 has 72 divisors (see below), whose sum is σ = 48647277000. Its totient is φ = 8809907200.

The previous prime is 22221100081. The next prime is 22221100117. The reversal of 22221100100 is 100112222.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 10549754944 + 11671345156 = 102712^2 + 108034^2 .

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, 8476790 + ... + 8479410.

It is an arithmetic number, because the mean of its divisors is an integer number (675656625).

Almost surely, 2^22221100100 is an apocalyptic number.

22221100100 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 22221100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24323638500).

22221100100 is an abundant number, since it is smaller than the sum of its proper divisors (26426176900).

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

22221100100 is a wasteful number, since it uses less digits than its factorization.

22221100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22221100100 its reverse (100112222), we get a palindrome (22321212322).

The spelling of 22221100100 in words is "twenty-two billion, two hundred twenty-one million, one hundred thousand, one hundred".