22024102344100 has 288 divisors, whose sum is σ = 50323147862400. Its totient is φ = 8357918515200.

The previous prime is 22024102344077. The next prime is 22024102344107. The reversal of 22024102344100 is 144320142022.

It is a super-2 number, since 2×22024102344100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (22024102344107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17493329271 + ... + 17493330529.

It is an arithmetic number, because the mean of its divisors is an integer number (174733152300).

Almost surely, 2^{22024102344100} is an apocalyptic number.

22024102344100 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 22024102344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25161573931200).

22024102344100 is an abundant number, since it is smaller than the sum of its proper divisors (28299045518300).

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

22024102344100 is a wasteful number, since it uses less digits than its factorization.

22024102344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 22024102344100 its reverse (144320142022), we get a palindrome (22168422486122).

The spelling of 22024102344100 in words is "twenty-two trillion, twenty-four billion, one hundred two million, three hundred forty-four thousand, one hundred".