112112101100017 has 2 divisors, whose sum is σ = 112112101100018. Its totient is φ = 112112101100016.

The previous prime is 112112101099991. The next prime is 112112101100033. The reversal of 112112101100017 is 710001101211211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98601742285281 + 13510358814736 = 9929841^2 + 3675644^2 .

It is a cyclic number.

It is not a de Polignac number, because 112112101100017 - 2³¹ = 112109953616369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112112101099967 and 112112101100003.

It is not a weakly prime, because it can be changed into another prime (112112101100047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56056050550008 + 56056050550009.

It is an arithmetic number, because the mean of its divisors is an integer number (56056050550009).

Almost surely, 2^{112112101100017} is an apocalyptic number.

It is an amenable number.

112112101100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

112112101100017 is an equidigital number, since it uses as much as digits as its factorization.

112112101100017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 19.

Adding to 112112101100017 its reverse (710001101211211), we get a palindrome (822113202311228).

The spelling of 112112101100017 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred one million, one hundred thousand, seventeen".