10166116515601 has 16 divisors (see below), whose sum is σ = 10712215483200. Its totient is φ = 9621124531200.

The previous prime is 10166116515587. The next prime is 10166116515619. The reversal of 10166116515601 is 10651561166101.

It is a cyclic number.

It is not a de Polignac number, because 10166116515601 - 2¹⁹ = 10166115991313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10166116515661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135436641 + ... + 135511681.

It is an arithmetic number, because the mean of its divisors is an integer number (669513467700).

Almost surely, 2^{10166116515601} is an apocalyptic number.

It is an amenable number.

10166116515601 is a deficient number, since it is larger than the sum of its proper divisors (546098967599).

10166116515601 is a wasteful number, since it uses less digits than its factorization.

10166116515601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82320.

The product of its (nonzero) digits is 32400, while the sum is 40.

The spelling of 10166116515601 in words is "ten trillion, one hundred sixty-six billion, one hundred sixteen million, five hundred fifteen thousand, six hundred one".