11010111011117 has 2 divisors, whose sum is σ = 11010111011118. Its totient is φ = 11010111011116.

The previous prime is 11010111011101. The next prime is 11010111011129. The reversal of 11010111011117 is 71111011101011.

11010111011117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8791497782116 + 2218613229001 = 2965046^2 + 1489501^2 .

It is a cyclic number.

It is not a de Polignac number, because 11010111011117 - 2⁴ = 11010111011101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11010111011095 and 11010111011104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11010111011017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505055505558 + 5505055505559.

It is an arithmetic number, because the mean of its divisors is an integer number (5505055505559).

Almost surely, 2^{11010111011117} is an apocalyptic number.

It is an amenable number.

11010111011117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11010111011117 is an equidigital number, since it uses as much as digits as its factorization.

11010111011117 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 11010111011117 its reverse (71111011101011), we get a palindrome (82121122112128).

The spelling of 11010111011117 in words is "eleven trillion, ten billion, one hundred eleven million, eleven thousand, one hundred seventeen".