22113113100 has 144 divisors (see below), whose sum is σ = 71898231552. Its totient is φ = 5206544640.

The previous prime is 22113113081. The next prime is 22113113107. The reversal of 22113113100 is 131131122.

It is a happy number.

It is a super-2 number, since 2×22113113100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22113113100.

It is not an unprimeable number, because it can be changed into a prime (22113113107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 33562 + ... + 212961.

Almost surely, 2^22113113100 is an apocalyptic number.

22113113100 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 22113113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35949115776).

22113113100 is an abundant number, since it is smaller than the sum of its proper divisors (49785118452).

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

22113113100 is a wasteful number, since it uses less digits than its factorization.

22113113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246576 (or 246569 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 22113113100 its reverse (131131122), we get a palindrome (22244244222).

The spelling of 22113113100 in words is "twenty-two billion, one hundred thirteen million, one hundred thirteen thousand, one hundred".