117000001010117 has 2 divisors, whose sum is σ = 117000001010118. Its totient is φ = 117000001010116.

The previous prime is 117000001010063. The next prime is 117000001010119. The reversal of 117000001010117 is 711010100000711.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93840797625316 + 23159203384801 = 9687146^2 + 4812401^2 .

It is a cyclic number.

It is not a de Polignac number, because 117000001010117 - 2⁸ = 117000001009861 is a prime.

Together with 117000001010119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (117000001010119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58500000505058 + 58500000505059.

It is an arithmetic number, because the mean of its divisors is an integer number (58500000505059).

Almost surely, 2^{117000001010117} is an apocalyptic number.

It is an amenable number.

117000001010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

117000001010117 is an equidigital number, since it uses as much as digits as its factorization.

117000001010117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49, while the sum is 20.

Adding to 117000001010117 its reverse (711010100000711), we get a palindrome (828010101010828).

The spelling of 117000001010117 in words is "one hundred seventeen trillion, one million, ten thousand, one hundred seventeen".