12000100001017 has 2 divisors, whose sum is σ = 12000100001018. Its totient is φ = 12000100001016.

The previous prime is 12000100000943. The next prime is 12000100001047. The reversal of 12000100001017 is 71010000100021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8363542536441 + 3636557464576 = 2891979^2 + 1906976^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12000100001017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12000100000988 and 12000100001006.

It is not a weakly prime, because it can be changed into another prime (12000100001047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000050000508 + 6000050000509.

It is an arithmetic number, because the mean of its divisors is an integer number (6000050000509).

Almost surely, 2^{12000100001017} is an apocalyptic number.

It is an amenable number.

12000100001017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12000100001017 is an equidigital number, since it uses as much as digits as its factorization.

12000100001017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 13.

Adding to 12000100001017 its reverse (71010000100021), we get a palindrome (83010100101038).

The spelling of 12000100001017 in words is "twelve trillion, one hundred million, one thousand, seventeen".