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12221313330101 is a prime number
BaseRepresentation
bin1011000111010111111100…
…0010100010101110110101
31121021100100100011010202012
42301311333002202232311
53100213222203030401
641554221022454005
72400650352203111
oct261657702425665
947240310133665
1012221313330101
1139920368473a7
1214546a5134305
136a860750ab95
1430372c576741
15162d875858bb
hexb1d7f0a2bb5

12221313330101 has 2 divisors, whose sum is σ = 12221313330102. Its totient is φ = 12221313330100.

The previous prime is 12221313330077. The next prime is 12221313330167. The reversal of 12221313330101 is 10103331312221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12133622722225 + 87690607876 = 3483335^2 + 296126^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221313330101 - 238 = 11946435423157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12221313330181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110656665050 + 6110656665051.

It is an arithmetic number, because the mean of its divisors is an integer number (6110656665051).

Almost surely, 212221313330101 is an apocalyptic number.

It is an amenable number.

12221313330101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221313330101 is an equidigital number, since it uses as much as digits as its factorization.

12221313330101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 12221313330101 its reverse (10103331312221), we get a palindrome (22324644642322).

The spelling of 12221313330101 in words is "twelve trillion, two hundred twenty-one billion, three hundred thirteen million, three hundred thirty thousand, one hundred one".