10222213321841 has 2 divisors, whose sum is σ = 10222213321842. Its totient is φ = 10222213321840.

The previous prime is 10222213321811. The next prime is 10222213321861. The reversal of 10222213321841 is 14812331222201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10210485298225 + 11728023616 = 3195385^2 + 108296^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222213321841 - 2¹⁰ = 10222213320817 is a prime.

It is a super-2 number, since 2×10222213321841² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10222213321798 and 10222213321807.

It is not a weakly prime, because it can be changed into another prime (10222213321811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111106660920 + 5111106660921.

It is an arithmetic number, because the mean of its divisors is an integer number (5111106660921).

Almost surely, 2^{10222213321841} is an apocalyptic number.

It is an amenable number.

10222213321841 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222213321841 is an equidigital number, since it uses as much as digits as its factorization.

10222213321841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 10222213321841 in words is "ten trillion, two hundred twenty-two billion, two hundred thirteen million, three hundred twenty-one thousand, eight hundred forty-one".