10110010001617 has 2 divisors, whose sum is σ = 10110010001618. Its totient is φ = 10110010001616.

The previous prime is 10110010001569. The next prime is 10110010001701. The reversal of 10110010001617 is 71610001001101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5371969698001 + 4738040303616 = 2317751^2 + 2176704^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110010001617 - 2¹⁹ = 10110009477329 is a prime.

It is a super-2 number, since 2×10110010001617² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10110010001594 and 10110010001603.

It is not a weakly prime, because it can be changed into another prime (10110010001717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055005000808 + 5055005000809.

It is an arithmetic number, because the mean of its divisors is an integer number (5055005000809).

Almost surely, 2^{10110010001617} is an apocalyptic number.

It is an amenable number.

10110010001617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110010001617 is an equidigital number, since it uses as much as digits as its factorization.

10110010001617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 19.

Adding to 10110010001617 its reverse (71610001001101), we get a palindrome (81720011002718).

The spelling of 10110010001617 in words is "ten trillion, one hundred ten billion, ten million, one thousand, six hundred seventeen".