112112212001017 has 2 divisors, whose sum is σ = 112112212001018. Its totient is φ = 112112212001016.

The previous prime is 112112212000981. The next prime is 112112212001039. The reversal of 112112212001017 is 710100212211211.

It is an a-pointer prime, because the next prime (112112212001039) can be obtained adding 112112212001017 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97256460173161 + 14855751827856 = 9861869^2 + 3854316^2 .

It is a cyclic number.

It is not a de Polignac number, because 112112212001017 - 2³⁹ = 111562456187129 is a prime.

It is not a weakly prime, because it can be changed into another prime (112112212007017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56056106000508 + 56056106000509.

It is an arithmetic number, because the mean of its divisors is an integer number (56056106000509).

Almost surely, 2^{112112212001017} is an apocalyptic number.

It is an amenable number.

112112212001017 is a deficient number, since it is larger than the sum of its proper divisors (1).

112112212001017 is an equidigital number, since it uses as much as digits as its factorization.

112112212001017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 112112212001017 its reverse (710100212211211), we get a palindrome (822212424212228).

The spelling of 112112212001017 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred twelve million, one thousand, seventeen".