11200100200117 has 2 divisors, whose sum is σ = 11200100200118. Its totient is φ = 11200100200116.

The previous prime is 11200100200111. The next prime is 11200100200139. The reversal of 11200100200117 is 71100200100211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8561704229521 + 2638395970596 = 2926039^2 + 1624314^2 .

It is a cyclic number.

It is not a de Polignac number, because 11200100200117 - 2³ = 11200100200109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11200100200117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11200100200111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5600050100058 + 5600050100059.

It is an arithmetic number, because the mean of its divisors is an integer number (5600050100059).

Almost surely, 2^{11200100200117} is an apocalyptic number.

It is an amenable number.

11200100200117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11200100200117 is an equidigital number, since it uses as much as digits as its factorization.

11200100200117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 11200100200117 its reverse (71100200100211), we get a palindrome (82300300300328).

The spelling of 11200100200117 in words is "eleven trillion, two hundred billion, one hundred million, two hundred thousand, one hundred seventeen".