22224114140100 has 144 divisors (see below), whose sum is σ = 67705999872000. Its totient is φ = 5612860206720.

The previous prime is 22224114140077. The next prime is 22224114140153. The reversal of 22224114140100 is 104141142222.

It is a happy number.

It is a super-2 number, since 2×22224114140100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18847701 + ... + 19992099.

Almost surely, 2^{22224114140100} is an apocalyptic number.

22224114140100 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 22224114140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33852999936000).

22224114140100 is an abundant number, since it is smaller than the sum of its proper divisors (45481885731900).

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

22224114140100 is a wasteful number, since it uses less digits than its factorization.

22224114140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147842 (or 1147835 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 22224114140100 its reverse (104141142222), we get a palindrome (22328255282322).

The spelling of 22224114140100 in words is "twenty-two trillion, two hundred twenty-four billion, one hundred fourteen million, one hundred forty thousand, one hundred".