112131310100 has 144 divisors (see below), whose sum is σ = 266467320000. Its totient is φ = 40793840640.

The previous prime is 112131310019. The next prime is 112131310103. The reversal of 112131310100 is 1013131211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112131310103) 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, 9857216 + ... + 9868584.

It is an arithmetic number, because the mean of its divisors is an integer number (1850467500).

Almost surely, 2^112131310100 is an apocalyptic number.

112131310100 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 112131310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133233660000).

112131310100 is an abundant number, since it is smaller than the sum of its proper divisors (154336009900).

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

112131310100 is a wasteful number, since it uses less digits than its factorization.

112131310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11610 (or 11603 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 112131310100 its reverse (1013131211), we get a palindrome (113144441311).

The spelling of 112131310100 in words is "one hundred twelve billion, one hundred thirty-one million, three hundred ten thousand, one hundred".