10166116616101 has 4 divisors (see below), whose sum is σ = 10166236171852. Its totient is φ = 10165997060352.

The previous prime is 10166116615999. The next prime is 10166116616191. The reversal of 10166116616101 is 10161661166101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 3605992113025 + 6560124503076 = 1898945^2 + 2561274^2 .

It is a cyclic number.

It is not a de Polignac number, because 10166116616101 - 2³³ = 10157526681509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10166116616191) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59650236 + ... + 59820421.

It is an arithmetic number, because the mean of its divisors is an integer number (2541559042963).

Almost surely, 2^{10166116616101} is an apocalyptic number.

It is an amenable number.

10166116616101 is a deficient number, since it is larger than the sum of its proper divisors (119555751).

10166116616101 is an equidigital number, since it uses as much as digits as its factorization.

10166116616101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119555750.

The product of its (nonzero) digits is 7776, while the sum is 37.

The spelling of 10166116616101 in words is "ten trillion, one hundred sixty-six billion, one hundred sixteen million, six hundred sixteen thousand, one hundred one".