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221321212201 is a prime number
BaseRepresentation
bin1100111000011111000…
…1011011000100101001
3210011021020220111011101
43032013301123010221
512111231212242301
6245401253401401
721663355156345
oct3160761330451
9704236814141
10221321212201
1185953066531
1236a88039261
1317b4164ab7b
14a9d7a4a625
155b551c0701
hex3387c5b129

221321212201 has 2 divisors, whose sum is σ = 221321212202. Its totient is φ = 221321212200.

The previous prime is 221321212193. The next prime is 221321212247. The reversal of 221321212201 is 102212123122.

221321212201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 217846227600 + 3474984601 = 466740^2 + 58949^2 .

It is a cyclic number.

It is not a de Polignac number, because 221321212201 - 23 = 221321212193 is a prime.

It is not a weakly prime, because it can be changed into another prime (221321212001) 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, 110660606100 + 110660606101.

It is an arithmetic number, because the mean of its divisors is an integer number (110660606101).

Almost surely, 2221321212201 is an apocalyptic number.

It is an amenable number.

221321212201 is a deficient number, since it is larger than the sum of its proper divisors (1).

221321212201 is an equidigital number, since it uses as much as digits as its factorization.

221321212201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 221321212201 its reverse (102212123122), we get a palindrome (323533335323).

The spelling of 221321212201 in words is "two hundred twenty-one billion, three hundred twenty-one million, two hundred twelve thousand, two hundred one".