4107113166101 has 16 divisors (see below), whose sum is σ = 4498318964160. Its totient is φ = 3718898734080.

The previous prime is 4107113166077. The next prime is 4107113166113. The reversal of 4107113166101 is 1016613117014.

4107113166101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4107113166101 - 2¹⁴ = 4107113149717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4107113165101) 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, 3759770 + ... + 4727588.

It is an arithmetic number, because the mean of its divisors is an integer number (281144935260).

Almost surely, 2^{4107113166101} is an apocalyptic number.

It is an amenable number.

4107113166101 is a deficient number, since it is larger than the sum of its proper divisors (391205798059).

4107113166101 is a wasteful number, since it uses less digits than its factorization.

4107113166101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969364.

The product of its (nonzero) digits is 3024, while the sum is 32.

The spelling of 4107113166101 in words is "four trillion, one hundred seven billion, one hundred thirteen million, one hundred sixty-six thousand, one hundred one".