10666501116601 has 32 divisors (see below), whose sum is σ = 12513762679680. Its totient is φ = 8983582924800.

The previous prime is 10666501116587. The next prime is 10666501116613. The reversal of 10666501116601 is 10661110566601.

10666501116601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10666501116601 - 2⁷ = 10666501116473 is a prime.

It is a super-2 number, since 2×10666501116601² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10666501116671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16739205 + ... + 17364733.

It is an arithmetic number, because the mean of its divisors is an integer number (391055083740).

Almost surely, 2^{10666501116601} is an apocalyptic number.

10666501116601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10666501116601 is a deficient number, since it is larger than the sum of its proper divisors (1847261563079).

10666501116601 is a wasteful number, since it uses less digits than its factorization.

10666501116601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626985.

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 10666501116601 in words is "ten trillion, six hundred sixty-six billion, five hundred one million, one hundred sixteen thousand, six hundred one".