10611151110017 has 2 divisors, whose sum is σ = 10611151110018. Its totient is φ = 10611151110016.

The previous prime is 10611151109981. The next prime is 10611151110023. The reversal of 10611151110017 is 71001115111601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8696182247041 + 1914968862976 = 2948929^2 + 1383824^2 .

It is a cyclic number.

It is not a de Polignac number, because 10611151110017 - 2¹² = 10611151105921 is a prime.

It is a super-2 number, since 2×10611151110017² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10611151110067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5305575555008 + 5305575555009.

It is an arithmetic number, because the mean of its divisors is an integer number (5305575555009).

Almost surely, 2^{10611151110017} is an apocalyptic number.

It is an amenable number.

10611151110017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10611151110017 is an equidigital number, since it uses as much as digits as its factorization.

10611151110017 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 26.

Adding to 10611151110017 its reverse (71001115111601), we get a palindrome (81612266221618).

The spelling of 10611151110017 in words is "ten trillion, six hundred eleven billion, one hundred fifty-one million, one hundred ten thousand, seventeen".