110002211212241 has 2 divisors, whose sum is σ = 110002211212242. Its totient is φ = 110002211212240.

The previous prime is 110002211212213. The next prime is 110002211212259. The reversal of 110002211212241 is 142212112200011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91651825662016 + 18350385550225 = 9573496^2 + 4283735^2 .

It is a cyclic number.

It is not a de Polignac number, because 110002211212241 - 2⁶ = 110002211212177 is a prime.

It is not a weakly prime, because it can be changed into another prime (110002211212211) 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, 55001105606120 + 55001105606121.

It is an arithmetic number, because the mean of its divisors is an integer number (55001105606121).

Almost surely, 2^{110002211212241} is an apocalyptic number.

It is an amenable number.

110002211212241 is a deficient number, since it is larger than the sum of its proper divisors (1).

110002211212241 is an equidigital number, since it uses as much as digits as its factorization.

110002211212241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 110002211212241 its reverse (142212112200011), we get a palindrome (252214323412252).

The spelling of 110002211212241 in words is "one hundred ten trillion, two billion, two hundred eleven million, two hundred twelve thousand, two hundred forty-one".