112112112103101 has 20 divisors (see below), whose sum is σ = 182701219725024. Its totient is φ = 67946734607400.

The previous prime is 112112112102997. The next prime is 112112112103127. The reversal of 112112112103101 is 101301211211211.

112112112103101 is a `hidden beast` number, since 1 + 1 + 21 + 121 + 1 + 210 + 310 + 1 = 666.

It is not a de Polignac number, because 112112112103101 - 2²² = 112112107908797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112112103171) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62913642265 + ... + 62913644046.

Almost surely, 2^{112112112103101} is an apocalyptic number.

112112112103101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112112112103101 is a deficient number, since it is larger than the sum of its proper divisors (70589107621923).

112112112103101 is a wasteful number, since it uses less digits than its factorization.

112112112103101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125827286334 (or 125827286325 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 112112112103101 its reverse (101301211211211), we get a palindrome (213413323314312).

The spelling of 112112112103101 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twelve million, one hundred three thousand, one hundred one".