11011101088241 has 2 divisors, whose sum is σ = 11011101088242. Its totient is φ = 11011101088240.

The previous prime is 11011101088181. The next prime is 11011101088243. The reversal of 11011101088241 is 14288010111011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9765375001600 + 1245726086641 = 3124960^2 + 1116121^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011101088241 - 2⁴² = 6613054577137 is a prime.

Together with 11011101088243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (11011101088243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505550544120 + 5505550544121.

It is an arithmetic number, because the mean of its divisors is an integer number (5505550544121).

Almost surely, 2^{11011101088241} is an apocalyptic number.

It is an amenable number.

11011101088241 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011101088241 is an equidigital number, since it uses as much as digits as its factorization.

11011101088241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 29.

Adding to 11011101088241 its reverse (14288010111011), we get a palindrome (25299111199252).

The spelling of 11011101088241 in words is "eleven trillion, eleven billion, one hundred one million, eighty-eight thousand, two hundred forty-one".