11010101101117 has 2 divisors, whose sum is σ = 11010101101118. Its totient is φ = 11010101101116.

The previous prime is 11010101101093. The next prime is 11010101101123. The reversal of 11010101101117 is 71110110101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8942886897156 + 2067214203961 = 2990466^2 + 1437781^2 .

It is an emirp because it is prime and its reverse (71110110101011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11010101101117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11010101101117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11010101104117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505050550558 + 5505050550559.

It is an arithmetic number, because the mean of its divisors is an integer number (5505050550559).

Almost surely, 2^{11010101101117} is an apocalyptic number.

It is an amenable number.

11010101101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11010101101117 is an equidigital number, since it uses as much as digits as its factorization.

11010101101117 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 11010101101117 its reverse (71110110101011), we get a palindrome (82120211202128).

The spelling of 11010101101117 in words is "eleven trillion, ten billion, one hundred one million, one hundred one thousand, one hundred seventeen".