112300122100 has 72 divisors (see below), whose sum is σ = 253095050880. Its totient is φ = 43219038720.

The previous prime is 112300122091. The next prime is 112300122119. The reversal of 112300122100 is 1221003211.

It is a super-2 number, since 2×112300122100² (a number of 23 digits) contains 22 as substring.

112300122100 is a modest number, since divided by 122100 gives 112300 as remainder.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 74812 + ... + 479788.

It is an arithmetic number, because the mean of its divisors is an integer number (3515209040).

Almost surely, 2^112300122100 is an apocalyptic number.

112300122100 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 112300122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126547525440).

112300122100 is an abundant number, since it is smaller than the sum of its proper divisors (140794928780).

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

112300122100 is a wasteful number, since it uses less digits than its factorization.

112300122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405097 (or 405090 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 112300122100 its reverse (1221003211), we get a palindrome (113521125311).

The spelling of 112300122100 in words is "one hundred twelve billion, three hundred million, one hundred twenty-two thousand, one hundred".