112100122101123 has 48 divisors (see below), whose sum is σ = 175953580979904. Its totient is φ = 68361596190720.

The previous prime is 112100122101113. The next prime is 112100122101161. The reversal of 112100122101123 is 321101221001211.

It is a happy number.

It is not a de Polignac number, because 112100122101123 - 2⁸ = 112100122100867 is a prime.

It is a super-2 number, since 2×112100122101123² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112100122101096 and 112100122101105.

It is not an unprimeable number, because it can be changed into a prime (112100122101113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71156290 + ... + 72714632.

It is an arithmetic number, because the mean of its divisors is an integer number (3665699603748).

Almost surely, 2^{112100122101123} is an apocalyptic number.

112100122101123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

112100122101123 is a deficient number, since it is larger than the sum of its proper divisors (63853458878781).

112100122101123 is a wasteful number, since it uses less digits than its factorization.

112100122101123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563916 (or 1563913 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 112100122101123 its reverse (321101221001211), we get a palindrome (433201343102334).

The spelling of 112100122101123 in words is "one hundred twelve trillion, one hundred billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty-three".