In number theory, repdigits refer to numbers with all of their digits the same, thus "repeated digits" as their un-shortened moniker. These numbers are likely to be found many times in collections of many things with numbers associated with them, and one would be prudent to believe that they'd occur in the collection that is all currently existing Pokémon species, for which they have unique National Dex numbers. Indeed, some of them have the property for their Dex numbers, and they may be construed to have unique properties of their own.
With that, the repdigit species are Rhyhorn (#111), Corsola (#222), Swablu (#333), Gabite (#444), Darmanitan (#555), Vivillon (#666), Togedemaru (#777), Zacian (#888), and Gimmighoul (#999). All of these evidently show their repdigit nature in their Dex numbers by them being composed of a single, repeated digit, and certainly up to the latest available generation. Incidentally, they are all also representative of each of those available generations from the first to the ninth. In the future, a potential tenth generation will then be able to cover #1111, but that's getting too far ahead of these already illustrious species.
That said, there is a breadth of unique aspects for all of the Pokémon listed above. Corsola and Darmanitan are standouts for having regional forms, while Zacian and Gimmighoul are similar for having alternate forms, and Vivillon has a great number of them (precluding its somewhat "wild" Dex number - which will not be further discussed). Then, there are Pokémon of various evolutionary stages like Rhyhorn and Gabite, which are first and second in their lineage, plus Vivillon again as the third of its lineage, as well as Togedemaru and Zacian that don't evolve, the latter a Legendary Pokémon with a typical characteristic in this regard.
At any rate, features of uniqueness and commonality are what makes various Pokémon species stand out, never mind if they're connected by a numerical feature in relation to their Dex numbers as is the case with all of the species above. Some of those features may be bound to be repeated across circumstances just like the numbers of a repdigit, but then that seems par for regular numbers just as they are for Dex numbers that represent Pokémon species. And the latter may just be a greater (if not as great) concern for fans.
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