10117471101 has 16 divisors (see below), whose sum is σ = 14203200000. Its totient is φ = 6388523568.

The previous prime is 10117471073. The next prime is 10117471153.

10117471101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10117471101 - 2⁷ = 10117470973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117471201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267190 + ... + 302696.

It is an arithmetic number, because the mean of its divisors is an integer number (887700000).

Almost surely, 2^10117471101 is an apocalyptic number.

It is an amenable number.

10117471101 is a deficient number, since it is larger than the sum of its proper divisors (4085728899).

10117471101 is a wasteful number, since it uses less digits than its factorization.

10117471101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40528.

The product of its (nonzero) digits is 196, while the sum is 24.

The spelling of 10117471101 in words is "ten billion, one hundred seventeen million, four hundred seventy-one thousand, one hundred one".