10166116101637 has 2 divisors, whose sum is σ = 10166116101638. Its totient is φ = 10166116101636.

The previous prime is 10166116101607. The next prime is 10166116101733. The reversal of 10166116101637 is 73610161166101.

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., 10025544346596 + 140571755041 = 3166314^2 + 374929^2 .

It is a cyclic number.

It is not a de Polignac number, because 10166116101637 - 2⁷ = 10166116101509 is a prime.

It is a super-2 number, since 2×10166116101637² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10166116101637.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10166116101607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5083058050818 + 5083058050819.

It is an arithmetic number, because the mean of its divisors is an integer number (5083058050819).

Almost surely, 2^{10166116101637} is an apocalyptic number.

It is an amenable number.

10166116101637 is a deficient number, since it is larger than the sum of its proper divisors (1).

10166116101637 is an equidigital number, since it uses as much as digits as its factorization.

10166116101637 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27216, while the sum is 40.

Adding to 10166116101637 its reverse (73610161166101), we get a palindrome (83776277267738).

The spelling of 10166116101637 in words is "ten trillion, one hundred sixty-six billion, one hundred sixteen million, one hundred one thousand, six hundred thirty-seven".