110101001110117 has 2 divisors, whose sum is σ = 110101001110118. Its totient is φ = 110101001110116.

The previous prime is 110101001110091. The next prime is 110101001110129. The reversal of 110101001110117 is 711011100101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96556584395041 + 13544416715076 = 9826321^2 + 3680274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110101001110117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110101001110117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110101001111117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050500555058 + 55050500555059.

It is an arithmetic number, because the mean of its divisors is an integer number (55050500555059).

Almost surely, 2^{110101001110117} is an apocalyptic number.

It is an amenable number.

110101001110117 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101001110117 is an equidigital number, since it uses as much as digits as its factorization.

110101001110117 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 16.

Adding to 110101001110117 its reverse (711011100101011), we get a palindrome (821112101211128).

The spelling of 110101001110117 in words is "one hundred ten trillion, one hundred one billion, one million, one hundred ten thousand, one hundred seventeen".