10666610065101 has 16 divisors (see below), whose sum is σ = 14302211268800. Its totient is φ = 7071049301760.

The previous prime is 10666610065061. The next prime is 10666610065211. The reversal of 10666610065101 is 10156001666601.

It is not a de Polignac number, because 10666610065101 - 2⁹ = 10666610064589 is a prime.

It is a super-2 number, since 2×10666610065101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10666610065101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10666610063101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4221486 + ... + 6257328.

It is an arithmetic number, because the mean of its divisors is an integer number (893888204300).

Almost surely, 2^{10666610065101} is an apocalyptic number.

It is an amenable number.

10666610065101 is a deficient number, since it is larger than the sum of its proper divisors (3635601203699).

10666610065101 is a wasteful number, since it uses less digits than its factorization.

10666610065101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045676.

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 10666610065101 in words is "ten trillion, six hundred sixty-six billion, six hundred ten million, sixty-five thousand, one hundred one".