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12100012217 is a prime number
BaseRepresentation
bin10110100010011011…
…11000100010111001
31011020021022022022122
423101031320202321
5144240100342332
65320401131025
7605564256356
oct132115704271
934207268278
1012100012217
11514a1612a7
122418329a75
1311aaab0a57
1482b01362d
154ac428c12
hex2d13788b9

12100012217 has 2 divisors, whose sum is σ = 12100012218. Its totient is φ = 12100012216.

The previous prime is 12100012207. The next prime is 12100012237. The reversal of 12100012217 is 71221000121.

12100012217 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., 10193729296 + 1906282921 = 100964^2 + 43661^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100012217 - 220 = 12098963641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12100012195 and 12100012204.

It is not a weakly prime, because it can be changed into another prime (12100012207) 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, 6050006108 + 6050006109.

It is an arithmetic number, because the mean of its divisors is an integer number (6050006109).

Almost surely, 212100012217 is an apocalyptic number.

It is an amenable number.

12100012217 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100012217 is an equidigital number, since it uses as much as digits as its factorization.

12100012217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 12100012217 its reverse (71221000121), we get a palindrome (83321012338).

The spelling of 12100012217 in words is "twelve billion, one hundred million, twelve thousand, two hundred seventeen".