111122122101017 has 2 divisors, whose sum is σ = 111122122101018. Its totient is φ = 111122122101016.

The previous prime is 111122122101007. The next prime is 111122122101043. The reversal of 111122122101017 is 710101221221111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94442322804736 + 16679799296281 = 9718144^2 + 4084091^2 .

It is a cyclic number.

It is not a de Polignac number, because 111122122101017 - 2⁸ = 111122122100761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111122122100983 and 111122122101001.

It is not a weakly prime, because it can be changed into another prime (111122122101007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55561061050508 + 55561061050509.

It is an arithmetic number, because the mean of its divisors is an integer number (55561061050509).

Almost surely, 2^{111122122101017} is an apocalyptic number.

It is an amenable number.

111122122101017 is a deficient number, since it is larger than the sum of its proper divisors (1).

111122122101017 is an equidigital number, since it uses as much as digits as its factorization.

111122122101017 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 23.

Adding to 111122122101017 its reverse (710101221221111), we get a palindrome (821223343322128).

The spelling of 111122122101017 in words is "one hundred eleven trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred one thousand, seventeen".