10717121017 has 2 divisors, whose sum is σ = 10717121018. Its totient is φ = 10717121016.

The previous prime is 10717120957. The next prime is 10717121033. The reversal of 10717121017 is 71012171701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7100421696 + 3616699321 = 84264^2 + 60139^2 .

It is a cyclic number.

It is not a de Polignac number, because 10717121017 - 2¹⁹ = 10716596729 is a prime.

It is a super-2 number, since 2×10717121017² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10717121047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5358560508 + 5358560509.

It is an arithmetic number, because the mean of its divisors is an integer number (5358560509).

Almost surely, 2^10717121017 is an apocalyptic number.

It is an amenable number.

10717121017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10717121017 is an equidigital number, since it uses as much as digits as its factorization.

10717121017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 686, while the sum is 28.

Adding to 10717121017 its reverse (71012171701), we get a palindrome (81729292718).

The spelling of 10717121017 in words is "ten billion, seven hundred seventeen million, one hundred twenty-one thousand, seventeen".