12111002100017 has 2 divisors, whose sum is σ = 12111002100018. Its totient is φ = 12111002100016.

The previous prime is 12111002099971. The next prime is 12111002100023. The reversal of 12111002100017 is 71000120011121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7281340972816 + 4829661127201 = 2698396^2 + 2197649^2 .

It is a cyclic number.

It is not a de Polignac number, because 12111002100017 - 2¹⁸ = 12111001837873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12111002099968 and 12111002100004.

It is not a weakly prime, because it can be changed into another prime (12111002100517) 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, 6055501050008 + 6055501050009.

It is an arithmetic number, because the mean of its divisors is an integer number (6055501050009).

Almost surely, 2^{12111002100017} is an apocalyptic number.

It is an amenable number.

12111002100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111002100017 is an equidigital number, since it uses as much as digits as its factorization.

12111002100017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 12111002100017 its reverse (71000120011121), we get a palindrome (83111122111138).

The spelling of 12111002100017 in words is "twelve trillion, one hundred eleven billion, two million, one hundred thousand, seventeen".