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12221100121 is a prime number
BaseRepresentation
bin10110110000110111…
…10011000001011001
31011112201011012200211
423120123303001121
5200012100200441
65340404331121
7611564431336
oct133033630131
934481135624
1012221100121
11520154644a
1224509a3aa1
1311c9bc8bb9
1483d13398d
154b7d96a81
hex2d86f3059

12221100121 has 2 divisors, whose sum is σ = 12221100122. Its totient is φ = 12221100120.

The previous prime is 12221100103. The next prime is 12221100137. The reversal of 12221100121 is 12100112221.

12221100121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9932912896 + 2288187225 = 99664^2 + 47835^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221100121 - 29 = 12221099609 is a prime.

It is not a weakly prime, because it can be changed into another prime (12221100421) 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, 6110550060 + 6110550061.

It is an arithmetic number, because the mean of its divisors is an integer number (6110550061).

Almost surely, 212221100121 is an apocalyptic number.

It is an amenable number.

12221100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221100121 is an equidigital number, since it uses as much as digits as its factorization.

12221100121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12221100121 its reverse (12100112221), we get a palindrome (24321212342).

The spelling of 12221100121 in words is "twelve billion, two hundred twenty-one million, one hundred thousand, one hundred twenty-one".