9812221122001 has 2 divisors, whose sum is σ = 9812221122002. Its totient is φ = 9812221122000.

The previous prime is 9812221121993. The next prime is 9812221122133. The reversal of 9812221122001 is 1002211222189.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6617493857601 + 3194727264400 = 2572449^2 + 1787380^2 .

It is an emirp because it is prime and its reverse (1002211222189) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9812221122001 - 2³ = 9812221121993 is a prime.

It is not a weakly prime, because it can be changed into another prime (9812221128001) 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, 4906110561000 + 4906110561001.

It is an arithmetic number, because the mean of its divisors is an integer number (4906110561001).

Almost surely, 2^{9812221122001} is an apocalyptic number.

It is an amenable number.

9812221122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

9812221122001 is an equidigital number, since it uses as much as digits as its factorization.

9812221122001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 31.

The spelling of 9812221122001 in words is "nine trillion, eight hundred twelve billion, two hundred twenty-one million, one hundred twenty-two thousand, one".