11101013206117 has 2 divisors, whose sum is σ = 11101013206118. Its totient is φ = 11101013206116.

The previous prime is 11101013206043. The next prime is 11101013206123. The reversal of 11101013206117 is 71160231010111.

11101013206117 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., 10545860058721 + 555153147396 = 3247439^2 + 745086^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101013206117 - 2²³ = 11101004817509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11101013206091 and 11101013206100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11101013206147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550506603058 + 5550506603059.

It is an arithmetic number, because the mean of its divisors is an integer number (5550506603059).

Almost surely, 2^{11101013206117} is an apocalyptic number.

It is an amenable number.

11101013206117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101013206117 is an equidigital number, since it uses as much as digits as its factorization.

11101013206117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 25.

Adding to 11101013206117 its reverse (71160231010111), we get a palindrome (82261244216228).

The spelling of 11101013206117 in words is "eleven trillion, one hundred one billion, thirteen million, two hundred six thousand, one hundred seventeen".