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221000222108201 is a prime number
BaseRepresentation
bin110010001111111110011111…
…101110111110101000101001
31001222111102012110110020212212
4302033332133232332220221
5212431331423324430301
62102010033410414505
764356511345102304
oct6217763756765051
91058442173406785
10221000222108201
1164465738a09478
12209533a7291435
139641301866603
143c806799c3b3b
151a83ac9e114bb
hexc8ff9fbbea29

221000222108201 has 2 divisors, whose sum is σ = 221000222108202. Its totient is φ = 221000222108200.

The previous prime is 221000222108191. The next prime is 221000222108203. The reversal of 221000222108201 is 102801222000122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132414478108201 + 88585744000000 = 11507149^2 + 9412000^2 .

It is a cyclic number.

It is not a de Polignac number, because 221000222108201 - 218 = 221000221846057 is a prime.

Together with 221000222108203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (221000222108203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500111054100 + 110500111054101.

It is an arithmetic number, because the mean of its divisors is an integer number (110500111054101).

Almost surely, 2221000222108201 is an apocalyptic number.

It is an amenable number.

221000222108201 is a deficient number, since it is larger than the sum of its proper divisors (1).

221000222108201 is an equidigital number, since it uses as much as digits as its factorization.

221000222108201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 221000222108201 its reverse (102801222000122), we get a palindrome (323801444108323).

The spelling of 221000222108201 in words is "two hundred twenty-one trillion, two hundred twenty-two million, one hundred eight thousand, two hundred one".