112301011130100 has 144 divisors (see below), whose sum is σ = 350405115137280. Its totient is φ = 27604878220800.

The previous prime is 112301011130041. The next prime is 112301011130107. The reversal of 112301011130100 is 1031110103211.

It is a super-2 number, since 2×112301011130100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112301011130100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112301011130107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17220331 + ... + 22828530.

It is an arithmetic number, because the mean of its divisors is an integer number (2433368855120).

Almost surely, 2^{112301011130100} is an apocalyptic number.

112301011130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112301011130100 is an abundant number, since it is smaller than the sum of its proper divisors (238104104007180).

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

112301011130100 is a wasteful number, since it uses less digits than its factorization.

112301011130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40049610 (or 40049603 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 112301011130100 its reverse (1031110103211), we get a palindrome (113332121233311).

The spelling of 112301011130100 in words is "one hundred twelve trillion, three hundred one billion, eleven million, one hundred thirty thousand, one hundred".