22124888100 has 288 divisors, whose sum is σ = 83021352960. Its totient is φ = 4949320320.

The previous prime is 22124888099. The next prime is 22124888141. The reversal of 22124888100 is 188842122.

It is a super-2 number, since 2×22124888100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 875847 + ... + 900753.

Almost surely, 2^22124888100 is an apocalyptic number.

22124888100 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 22124888100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41510676480).

22124888100 is an abundant number, since it is smaller than the sum of its proper divisors (60896464860).

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

22124888100 is a wasteful number, since it uses less digits than its factorization.

22124888100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24984 (or 24971 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 22124888100 in words is "twenty-two billion, one hundred twenty-four million, eight hundred eighty-eight thousand, one hundred".