117111011100101 has 2 divisors, whose sum is σ = 117111011100102. Its totient is φ = 117111011100100.

The previous prime is 117111011100091. The next prime is 117111011100103. The reversal of 117111011100101 is 101001110111711.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84593086502500 + 32517924597601 = 9197450^2 + 5702449^2 .

It is an emirp because it is prime and its reverse (101001110111711) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 117111011100101 - 2¹⁸ = 117111010837957 is a prime.

It is a Sophie Germain prime.

Together with 117111011100103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 117111011100101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (117111011100103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58555505550050 + 58555505550051.

It is an arithmetic number, because the mean of its divisors is an integer number (58555505550051).

Almost surely, 2^{117111011100101} is an apocalyptic number.

It is an amenable number.

117111011100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

117111011100101 is an equidigital number, since it uses as much as digits as its factorization.

117111011100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 17.

Adding to 117111011100101 its reverse (101001110111711), we get a palindrome (218112121211812).

The spelling of 117111011100101 in words is "one hundred seventeen trillion, one hundred eleven billion, eleven million, one hundred thousand, one hundred one".