11211001122241 has 2 divisors, whose sum is σ = 11211001122242. Its totient is φ = 11211001122240.

The previous prime is 11211001122169. The next prime is 11211001122271. The reversal of 11211001122241 is 14222110011211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8855147577600 + 2355853544641 = 2975760^2 + 1534879^2 .

It is an emirp because it is prime and its reverse (14222110011211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11211001122241 - 2³⁷ = 11073562168769 is a prime.

It is a super-2 number, since 2×11211001122241² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11211001122271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5605500561120 + 5605500561121.

It is an arithmetic number, because the mean of its divisors is an integer number (5605500561121).

Almost surely, 2^{11211001122241} is an apocalyptic number.

It is an amenable number.

11211001122241 is a deficient number, since it is larger than the sum of its proper divisors (1).

11211001122241 is an equidigital number, since it uses as much as digits as its factorization.

11211001122241 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 11211001122241 its reverse (14222110011211), we get a palindrome (25433111133452).

The spelling of 11211001122241 in words is "eleven trillion, two hundred eleven billion, one million, one hundred twenty-two thousand, two hundred forty-one".