22101000012241 has 2 divisors, whose sum is σ = 22101000012242. Its totient is φ = 22101000012240.

The previous prime is 22101000012187. The next prime is 22101000012257. The reversal of 22101000012241 is 14221000010122.

It is an a-pointer prime, because the next prime (22101000012257) can be obtained adding 22101000012241 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20757728284225 + 1343271728016 = 4556065^2 + 1158996^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101000012241 - 2⁹ = 22101000011729 is a prime.

It is not a weakly prime, because it can be changed into another prime (22101000012281) 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 as a sum of consecutive naturals, namely, 11050500006120 + 11050500006121.

It is an arithmetic number, because the mean of its divisors is an integer number (11050500006121).

Almost surely, 2^{22101000012241} is an apocalyptic number.

It is an amenable number.

22101000012241 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101000012241 is an equidigital number, since it uses as much as digits as its factorization.

22101000012241 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 16.

Adding to 22101000012241 its reverse (14221000010122), we get a palindrome (36322000022363).

The spelling of 22101000012241 in words is "twenty-two trillion, one hundred one billion, twelve thousand, two hundred forty-one".