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21221222201 is a prime number
BaseRepresentation
bin10011110000111000…
…100010011100111001
32000202221110210011122
4103300320202130321
5321430113102301
613425432235025
71350611261324
oct236070423471
960687423148
1021221222201
118aaa910373
124142b3ba75
1320026bc91a
14105457b7bb
1584309981b
hex4f0e22739

21221222201 has 2 divisors, whose sum is σ = 21221222202. Its totient is φ = 21221222200.

The previous prime is 21221222171. The next prime is 21221222219. The reversal of 21221222201 is 10222212212.

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., 18215551225 + 3005670976 = 134965^2 + 54824^2 .

It is a cyclic number.

It is not a de Polignac number, because 21221222201 - 26 = 21221222137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21221222201.

It is not a weakly prime, because it can be changed into another prime (21221222221) 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, 10610611100 + 10610611101.

It is an arithmetic number, because the mean of its divisors is an integer number (10610611101).

Almost surely, 221221222201 is an apocalyptic number.

It is an amenable number.

21221222201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21221222201 is an equidigital number, since it uses as much as digits as its factorization.

21221222201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21221222201 its reverse (10222212212), we get a palindrome (31443434413).

The spelling of 21221222201 in words is "twenty-one billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred one".