11011221102241 has 2 divisors, whose sum is σ = 11011221102242. Its totient is φ = 11011221102240.

The previous prime is 11011221102191. The next prime is 11011221102257. The reversal of 11011221102241 is 14220112211011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10042972974225 + 968248128016 = 3169065^2 + 983996^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011221102241 - 2³¹ = 11009073618593 is a prime.

It is not a weakly prime, because it can be changed into another prime (11011221102841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505610551120 + 5505610551121.

It is an arithmetic number, because the mean of its divisors is an integer number (5505610551121).

Almost surely, 2^{11011221102241} is an apocalyptic number.

It is an amenable number.

11011221102241 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011221102241 is an equidigital number, since it uses as much as digits as its factorization.

11011221102241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 11011221102241 its reverse (14220112211011), we get a palindrome (25231333313252).

The spelling of 11011221102241 in words is "eleven trillion, eleven billion, two hundred twenty-one million, one hundred two thousand, two hundred forty-one".