110010100010117 has 2 divisors, whose sum is σ = 110010100010118. Its totient is φ = 110010100010116.

The previous prime is 110010100010101. The next prime is 110010100010219. The reversal of 110010100010117 is 711010001010011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81525260789956 + 28484839220161 = 9029134^2 + 5337119^2 .

It is an emirp because it is prime and its reverse (711010001010011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110010100010117 - 2⁴ = 110010100010101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110010100010417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005050005058 + 55005050005059.

It is an arithmetic number, because the mean of its divisors is an integer number (55005050005059).

Almost surely, 2^{110010100010117} is an apocalyptic number.

It is an amenable number.

110010100010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010100010117 is an equidigital number, since it uses as much as digits as its factorization.

110010100010117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 110010100010117 its reverse (711010001010011), we get a palindrome (821020101020128).

The spelling of 110010100010117 in words is "one hundred ten trillion, ten billion, one hundred million, ten thousand, one hundred seventeen".