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12111212101 is a prime number
BaseRepresentation
bin10110100011110001…
…00110111001000101
31011021001101022200011
423101320212321011
5144300432241401
65321441150221
7606061414162
oct132170467105
934231338604
1012111212101
1151555109aa
12242002b371
1311b02027c1
1482c6cb069
154ad3dc451
hex2d1e26e45

12111212101 has 2 divisors, whose sum is σ = 12111212102. Its totient is φ = 12111212100.

The previous prime is 12111212093. The next prime is 12111212111. The reversal of 12111212101 is 10121211121.

It is a happy number.

12111212101 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., 8036943201 + 4074268900 = 89649^2 + 63830^2 .

It is a cyclic number.

It is not a de Polignac number, because 12111212101 - 23 = 12111212093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12111212111) 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, 6055606050 + 6055606051.

It is an arithmetic number, because the mean of its divisors is an integer number (6055606051).

Almost surely, 212111212101 is an apocalyptic number.

It is an amenable number.

12111212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111212101 is an equidigital number, since it uses as much as digits as its factorization.

12111212101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12111212101 its reverse (10121211121), we get a palindrome (22232423222).

The spelling of 12111212101 in words is "twelve billion, one hundred eleven million, two hundred twelve thousand, one hundred one".