112202023100 has 72 divisors (see below), whose sum is σ = 251456155776. Its totient is φ = 43411680000.

The previous prime is 112202023097. The next prime is 112202023111. The reversal of 112202023100 is 1320202211.

It is a happy number.

It is a super-2 number, since 2×112202023100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7249370 + ... + 7264830.

It is an arithmetic number, because the mean of its divisors is an integer number (3492446608).

Almost surely, 2^112202023100 is an apocalyptic number.

112202023100 is a gapful number since it is divisible by the number (10) 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 112202023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125728077888).

112202023100 is an abundant number, since it is smaller than the sum of its proper divisors (139254132676).

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

112202023100 is a wasteful number, since it uses less digits than its factorization.

112202023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17847 (or 17840 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 112202023100 its reverse (1320202211), we get a palindrome (113522225311).

The spelling of 112202023100 in words is "one hundred twelve billion, two hundred two million, twenty-three thousand, one hundred".