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12110112101 is a prime number
BaseRepresentation
bin10110100011101000…
…11010010101100101
31011020222022102202102
423101310122111211
5144300142041401
65321401421445
7606046153163
oct132164322545
934228272672
1012110112101
11515492a50a
12241b79a885
1311acc08c09
1482c4c2233
154ad27156b
hex2d1d1a565

12110112101 has 2 divisors, whose sum is σ = 12110112102. Its totient is φ = 12110112100.

The previous prime is 12110112031. The next prime is 12110112103. The reversal of 12110112101 is 10121101121.

12110112101 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., 7730981476 + 4379130625 = 87926^2 + 66175^2 .

It is an emirp because it is prime and its reverse (10121101121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12110112101 - 210 = 12110111077 is a prime.

Together with 12110112103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12110112103) 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, 6055056050 + 6055056051.

It is an arithmetic number, because the mean of its divisors is an integer number (6055056051).

Almost surely, 212110112101 is an apocalyptic number.

It is an amenable number.

12110112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12110112101 is an equidigital number, since it uses as much as digits as its factorization.

12110112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12110112101 its reverse (10121101121), we get a palindrome (22231213222).

The spelling of 12110112101 in words is "twelve billion, one hundred ten million, one hundred twelve thousand, one hundred one".