11205111522401 has 4 divisors (see below), whose sum is σ = 11320628136132. Its totient is φ = 11089594908672.

The previous prime is 11205111522317. The next prime is 11205111522443. The reversal of 11205111522401 is 10422511150211.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7580660890000 + 3624450632401 = 2753300^2 + 1903799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11205111522401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11205111522301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57758306720 + ... + 57758306913.

It is an arithmetic number, because the mean of its divisors is an integer number (2830157034033).

Almost surely, 2^{11205111522401} is an apocalyptic number.

It is an amenable number.

11205111522401 is a deficient number, since it is larger than the sum of its proper divisors (115516613731).

11205111522401 is an equidigital number, since it uses as much as digits as its factorization.

11205111522401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115516613730.

The product of its (nonzero) digits is 800, while the sum is 26.

Adding to 11205111522401 its reverse (10422511150211), we get a palindrome (21627622672612).

The spelling of 11205111522401 in words is "eleven trillion, two hundred five billion, one hundred eleven million, five hundred twenty-two thousand, four hundred one".