10166656616761 has 2 divisors, whose sum is σ = 10166656616762. Its totient is φ = 10166656616760.

The previous prime is 10166656616659. The next prime is 10166656616773. The reversal of 10166656616761 is 16761665666101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9269857086736 + 896799530025 = 3044644^2 + 946995^2 .

It is a cyclic number.

It is not a de Polignac number, because 10166656616761 - 2¹⁹ = 10166656092473 is a prime.

It is a super-2 number, since 2×10166656616761² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10166656616696 and 10166656616705.

It is not a weakly prime, because it can be changed into another prime (10166656616561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5083328308380 + 5083328308381.

It is an arithmetic number, because the mean of its divisors is an integer number (5083328308381).

Almost surely, 2^{10166656616761} is an apocalyptic number.

It is an amenable number.

10166656616761 is a deficient number, since it is larger than the sum of its proper divisors (1).

10166656616761 is an equidigital number, since it uses as much as digits as its factorization.

10166656616761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 10166656616761 in words is "ten trillion, one hundred sixty-six billion, six hundred fifty-six million, six hundred sixteen thousand, seven hundred sixty-one".