22122100225 has 27 divisors (see below), whose sum is σ = 27755157801. Its totient is φ = 17491236000.

The previous prime is 22122100213. The next prime is 22122100243. The reversal of 22122100225 is 52200122122.

The square root of 22122100225 is 148735.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5101244929 + 17020855296 = 71423^2 + 130464^2 .

It is not a de Polignac number, because 22122100225 - 2⁵ = 22122100193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112294827 + ... + 112295023.

Almost surely, 2^22122100225 is an apocalyptic number.

22122100225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22122100225 is the 148735-th square number.

22122100225 is the 74368-th centered octagonal number.

It is an amenable number.

22122100225 is a deficient number, since it is larger than the sum of its proper divisors (5633057576).

22122100225 is an frugal number, since it uses more digits than its factorization.

22122100225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 22122100225 its reverse (52200122122), we get a palindrome (74322222347).

The spelling of 22122100225 in words is "twenty-two billion, one hundred twenty-two million, one hundred thousand, two hundred twenty-five".