10016101517 has 2 divisors, whose sum is σ = 10016101518. Its totient is φ = 10016101516.

The previous prime is 10016101493. The next prime is 10016101549. The reversal of 10016101517 is 71510161001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7560998116 + 2455103401 = 86954^2 + 49549^2 .

It is a cyclic number.

It is not a de Polignac number, because 10016101517 - 2¹⁸ = 10015839373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10016101492 and 10016101501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10016101217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5008050758 + 5008050759.

It is an arithmetic number, because the mean of its divisors is an integer number (5008050759).

Almost surely, 2^10016101517 is an apocalyptic number.

It is an amenable number.

10016101517 is a deficient number, since it is larger than the sum of its proper divisors (1).

10016101517 is an equidigital number, since it uses as much as digits as its factorization.

10016101517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 23.

Adding to 10016101517 its reverse (71510161001), we get a palindrome (81526262518).

The spelling of 10016101517 in words is "ten billion, sixteen million, one hundred one thousand, five hundred seventeen".