112112120211101 has 8 divisors (see below), whose sum is σ = 119059196962680. Its totient is φ = 105204181920768.

The previous prime is 112112120211061. The next prime is 112112120211137. The reversal of 112112120211101 is 101112021211211.

It can be written as a sum of positive squares in 4 ways, for example, as 14382070216900 + 97730049994201 = 3792370^2 + 9885851^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 112112120211101 - 2¹⁸ = 112112119948957 is a prime.

It is a super-2 number, since 2×112112120211101² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112112120211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112120211151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9784609406 + ... + 9784620863.

It is an arithmetic number, because the mean of its divisors is an integer number (14882399620335).

Almost surely, 2^{112112120211101} is an apocalyptic number.

It is an amenable number.

112112120211101 is a deficient number, since it is larger than the sum of its proper divisors (6947076751579).

112112120211101 is a wasteful number, since it uses less digits than its factorization.

112112120211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19569230623.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 112112120211101 its reverse (101112021211211), we get a palindrome (213224141422312).

The spelling of 112112120211101 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twenty million, two hundred eleven thousand, one hundred one".