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22222121020201 is a prime number
BaseRepresentation
bin1010000110101111111011…
…01000010010101100101001
32220200102011211012022002201
411003113331220102230221
510403041400440121301
6115132411303300201
74452331606033144
oct503277550225451
986612154168081
1022222121020201
117098391a939a3
1225aa96744a661
13c526c9aac62b
1456b7b0a7305b
152880ad36e201
hex1435fda12b29

22222121020201 has 2 divisors, whose sum is σ = 22222121020202. Its totient is φ = 22222121020200.

The previous prime is 22222121020189. The next prime is 22222121020217. The reversal of 22222121020201 is 10202012122222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16681506490000 + 5540614530201 = 4084300^2 + 2353851^2 .

It is a cyclic number.

It is not a de Polignac number, because 22222121020201 - 227 = 22221986802473 is a prime.

It is not a weakly prime, because it can be changed into another prime (22222121020501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11111060510100 + 11111060510101.

It is an arithmetic number, because the mean of its divisors is an integer number (11111060510101).

Almost surely, 222222121020201 is an apocalyptic number.

It is an amenable number.

22222121020201 is a deficient number, since it is larger than the sum of its proper divisors (1).

22222121020201 is an equidigital number, since it uses as much as digits as its factorization.

22222121020201 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 19.

Adding to 22222121020201 its reverse (10202012122222), we get a palindrome (32424133142423).

The spelling of 22222121020201 in words is "twenty-two trillion, two hundred twenty-two billion, one hundred twenty-one million, twenty thousand, two hundred one".