112313222112101 has 2 divisors, whose sum is σ = 112313222112102. Its totient is φ = 112313222112100.

The previous prime is 112313222112089. The next prime is 112313222112173. The reversal of 112313222112101 is 101211222313211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104418661917025 + 7894560195076 = 10218545^2 + 2809726^2 .

It is an emirp because it is prime and its reverse (101211222313211) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112313222112101 is a prime.

It is a super-2 number, since 2×112313222112101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112313222112701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56156611056050 + 56156611056051.

It is an arithmetic number, because the mean of its divisors is an integer number (56156611056051).

Almost surely, 2^{112313222112101} is an apocalyptic number.

It is an amenable number.

112313222112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112313222112101 is an equidigital number, since it uses as much as digits as its factorization.

112313222112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 112313222112101 its reverse (101211222313211), we get a palindrome (213524444425312).

The spelling of 112313222112101 in words is "one hundred twelve trillion, three hundred thirteen billion, two hundred twenty-two million, one hundred twelve thousand, one hundred one".