22300100100 has 54 divisors (see below), whose sum is σ = 69898427690. Its totient is φ = 5946693120.

The previous prime is 22300100093. The next prime is 22300100117. The reversal of 22300100100 is 100100322.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1203118596 + 21096981504 = 34686^2 + 145248^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

22300100100 is a modest number, since divided by 100100 gives 22300 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12388045 + ... + 12389844.

Almost surely, 2^22300100100 is an apocalyptic number.

22300100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22300100100 is an abundant number, since it is smaller than the sum of its proper divisors (47598327590).

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

22300100100 is a wasteful number, since it uses less digits than its factorization.

22300100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24777909 (or 24777899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 22300100100 its reverse (100100322), we get a palindrome (22400200422).

The spelling of 22300100100 in words is "twenty-two billion, three hundred million, one hundred thousand, one hundred".