10166116515661 has 2 divisors, whose sum is σ = 10166116515662. Its totient is φ = 10166116515660.

The previous prime is 10166116515649. The next prime is 10166116515701. The reversal of 10166116515661 is 16651561166101.

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., 9501769260036 + 664347255625 = 3082494^2 + 815075^2 .

It is a cyclic number.

It is not a de Polignac number, because 10166116515661 - 2¹¹ = 10166116513613 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10166116515761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5083058257830 + 5083058257831.

It is an arithmetic number, because the mean of its divisors is an integer number (5083058257831).

Almost surely, 2^{10166116515661} is an apocalyptic number.

It is an amenable number.

10166116515661 is a deficient number, since it is larger than the sum of its proper divisors (1).

10166116515661 is an equidigital number, since it uses as much as digits as its factorization.

10166116515661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 194400, while the sum is 46.

The spelling of 10166116515661 in words is "ten trillion, one hundred sixty-six billion, one hundred sixteen million, five hundred fifteen thousand, six hundred sixty-one".