112132103101300 has 144 divisors (see below), whose sum is σ = 247149453141360. Its totient is φ = 44153246269440.

The previous prime is 112132103101261. The next prime is 112132103101387. The reversal of 112132103101300 is 3101301231211.

It can be written as a sum of positive squares in 24 ways, for example, as 2799022688784 + 109333080412516 = 1673028^2 + 10456246^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11520811234 + ... + 11520820966.

It is an arithmetic number, because the mean of its divisors is an integer number (1716315646815).

Almost surely, 2^{112132103101300} is an apocalyptic number.

112132103101300 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 112132103101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123574726570680).

112132103101300 is an abundant number, since it is smaller than the sum of its proper divisors (135017350040060).

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

112132103101300 is a wasteful number, since it uses less digits than its factorization.

112132103101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16070 (or 16063 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 112132103101300 its reverse (3101301231211), we get a palindrome (115233404332511).

The spelling of 112132103101300 in words is "one hundred twelve trillion, one hundred thirty-two billion, one hundred three million, one hundred one thousand, three hundred".