110001010117 has 2 divisors, whose sum is σ = 110001010118. Its totient is φ = 110001010116.

The previous prime is 110001010109. The next prime is 110001010123. The reversal of 110001010117 is 711010100011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90513129316 + 19487880801 = 300854^2 + 139599^2 .

It is a cyclic number.

It is not a de Polignac number, because 110001010117 - 2³ = 110001010109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110001010097 and 110001010106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110001010177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000505058 + 55000505059.

It is an arithmetic number, because the mean of its divisors is an integer number (55000505059).

Almost surely, 2^110001010117 is an apocalyptic number.

It is an amenable number.

110001010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001010117 is an equidigital number, since it uses as much as digits as its factorization.

110001010117 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 13.

Adding to 110001010117 its reverse (711010100011), we get a palindrome (821011110128).

The spelling of 110001010117 in words is "one hundred ten billion, one million, ten thousand, one hundred seventeen".