22130000100 has 216 divisors, whose sum is σ = 76524680232. Its totient is φ = 5314406400.

The previous prime is 22130000099. The next prime is 22130000119. The reversal of 22130000100 is 100003122.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 14975885376 + 7154114724 = 122376^2 + 84582^2 .

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

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 71 ways as a sum of consecutive naturals, for example, 456634 + ... + 502766.

It is an arithmetic number, because the mean of its divisors is an integer number (354280927).

Almost surely, 2^22130000100 is an apocalyptic number.

22130000100 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 22130000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38262340116).

22130000100 is an abundant number, since it is smaller than the sum of its proper divisors (54394680132).

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

22130000100 is a wasteful number, since it uses less digits than its factorization.

22130000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46207 (or 46197 counting only the distinct ones).

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

Adding to 22130000100 its reverse (100003122), we get a palindrome (22230003222).

The spelling of 22130000100 in words is "twenty-two billion, one hundred thirty million, one hundred", and thus it is an aban number.