10016117117 has 2 divisors, whose sum is σ = 10016117118. Its totient is φ = 10016117116.

The previous prime is 10016117093. The next prime is 10016117129. The reversal of 10016117117 is 71171161001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8113325476 + 1902791641 = 90074^2 + 43621^2 .

It is a cyclic number.

It is not a de Polignac number, because 10016117117 - 2⁶ = 10016117053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10016177117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5008058558 + 5008058559.

It is an arithmetic number, because the mean of its divisors is an integer number (5008058559).

Almost surely, 2^10016117117 is an apocalyptic number.

It is an amenable number.

10016117117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10016117117 is an equidigital number, since it uses as much as digits as its factorization.

10016117117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 294, while the sum is 26.

Adding to 10016117117 its reverse (71171161001), we get a palindrome (81187278118).

The spelling of 10016117117 in words is "ten billion, sixteen million, one hundred seventeen thousand, one hundred seventeen".