182201102221 has 2 divisors, whose sum is σ = 182201102222. Its totient is φ = 182201102220.

The previous prime is 182201102207. The next prime is 182201102227. The reversal of 182201102221 is 122201102281.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102684998025 + 79516104196 = 320445^2 + 281986^2 .

It is an emirp because it is prime and its reverse (122201102281) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 182201102221 - 2¹¹ = 182201100173 is a prime.

It is a super-2 number, since 2×182201102221² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 182201102192 and 182201102201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (182201102227) 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, 91100551110 + 91100551111.

It is an arithmetic number, because the mean of its divisors is an integer number (91100551111).

Almost surely, 2^182201102221 is an apocalyptic number.

It is an amenable number.

182201102221 is a deficient number, since it is larger than the sum of its proper divisors (1).

182201102221 is an equidigital number, since it uses as much as digits as its factorization.

182201102221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 22.

The spelling of 182201102221 in words is "one hundred eighty-two billion, two hundred one million, one hundred two thousand, two hundred twenty-one".