2322113113100 has 144 divisors (see below), whose sum is σ = 5760711290880. Its totient is φ = 804222988800.

The previous prime is 2322113113097. The next prime is 2322113113171. The reversal of 2322113113100 is 13113112232.

It is a happy number.

It is a super-2 number, since 2×2322113113100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5697941 + ... + 6091859.

It is an arithmetic number, because the mean of its divisors is an integer number (40004939520).

Almost surely, 2^{2322113113100} is an apocalyptic number.

2322113113100 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 2322113113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880355645440).

2322113113100 is an abundant number, since it is smaller than the sum of its proper divisors (3438598177780).

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

2322113113100 is a wasteful number, since it uses less digits than its factorization.

2322113113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394200 (or 394193 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2322113113100 its reverse (13113112232), we get a palindrome (2335226225332).

The spelling of 2322113113100 in words is "two trillion, three hundred twenty-two billion, one hundred thirteen million, one hundred thirteen thousand, one hundred".