11201122110133 has 2 divisors, whose sum is σ = 11201122110134. Its totient is φ = 11201122110132.

The previous prime is 11201122110121. The next prime is 11201122110187. The reversal of 11201122110133 is 33101122110211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8448980464369 + 2752141645764 = 2906713^2 + 1658958^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11201122110133 is a prime.

It is a super-2 number, since 2×11201122110133² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11201122110133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11201122110733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5600561055066 + 5600561055067.

It is an arithmetic number, because the mean of its divisors is an integer number (5600561055067).

Almost surely, 2^{11201122110133} is an apocalyptic number.

It is an amenable number.

11201122110133 is a deficient number, since it is larger than the sum of its proper divisors (1).

11201122110133 is an equidigital number, since it uses as much as digits as its factorization.

11201122110133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 11201122110133 its reverse (33101122110211), we get a palindrome (44302244220344).

The spelling of 11201122110133 in words is "eleven trillion, two hundred one billion, one hundred twenty-two million, one hundred ten thousand, one hundred thirty-three".