112310012131101 has 48 divisors (see below), whose sum is σ = 166684682486400. Its totient is φ = 72817113283200.

The previous prime is 112310012131069. The next prime is 112310012131117. The reversal of 112310012131101 is 101131210013211.

112310012131101 is a `hidden beast` number, since 1 + 1 + 231 + 0 + 0 + 121 + 311 + 0 + 1 = 666.

It is not a de Polignac number, because 112310012131101 - 2⁵ = 112310012131069 is a prime.

It is a super-2 number, since 2×112310012131101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112310012131301) 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, 11456693266 + ... + 11456703068.

It is an arithmetic number, because the mean of its divisors is an integer number (3472597551800).

Almost surely, 2^{112310012131101} is an apocalyptic number.

It is an amenable number.

112310012131101 is a deficient number, since it is larger than the sum of its proper divisors (54374670355299).

112310012131101 is a wasteful number, since it uses less digits than its factorization.

112310012131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21746 (or 21743 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 112310012131101 its reverse (101131210013211), we get a palindrome (213441222144312).

The spelling of 112310012131101 in words is "one hundred twelve trillion, three hundred ten billion, twelve million, one hundred thirty-one thousand, one hundred one".