22201000100 has 72 divisors (see below), whose sum is σ = 48713418600. Its totient is φ = 8781696000.

The previous prime is 22201000067. The next prime is 22201000117. The reversal of 22201000100 is 100010222.

It can be written as a sum of positive squares in 12 ways, for example, as 81577024 + 22119423076 = 9032^2 + 148726^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6549206 + ... + 6552594.

Almost surely, 2^22201000100 is an apocalyptic number.

22201000100 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 22201000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24356709300).

22201000100 is an abundant number, since it is smaller than the sum of its proper divisors (26512418500).

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

22201000100 is a wasteful number, since it uses less digits than its factorization.

22201000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4113 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 22201000100 its reverse (100010222), we get a palindrome (22301010322).

The spelling of 22201000100 in words is "twenty-two billion, two hundred one million, one hundred", and thus it is an aban number.