10125113415017 has 2 divisors, whose sum is σ = 10125113415018. Its totient is φ = 10125113415016.

The previous prime is 10125113414921. The next prime is 10125113415037. The reversal of 10125113415017 is 71051431152101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8063890410601 + 2061223004416 = 2839699^2 + 1435696^2 .

It is a cyclic number.

It is not a de Polignac number, because 10125113415017 - 2¹⁸ = 10125113152873 is a prime.

It is a super-2 number, since 2×10125113415017² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10125113415037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5062556707508 + 5062556707509.

It is an arithmetic number, because the mean of its divisors is an integer number (5062556707509).

Almost surely, 2^{10125113415017} is an apocalyptic number.

It is an amenable number.

10125113415017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10125113415017 is an equidigital number, since it uses as much as digits as its factorization.

10125113415017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 32.

Adding to 10125113415017 its reverse (71051431152101), we get a palindrome (81176544567118).

The spelling of 10125113415017 in words is "ten trillion, one hundred twenty-five billion, one hundred thirteen million, four hundred fifteen thousand, seventeen".