Exeggutor in depth
Coconuts with a name of their own
Japanese is the most direct of the three. ナッシー, Nassy, is formed from ココナッツ (kokonattsu, coconuts) and 椰子 (yashi, palm), and describes exactly what you see. English plays on something else: Exeggutor combines executer with egg, making use of the fact that the entire line is built around eggs that are actually seeds. French, Noadkoko, comes from noix de coco and makes no attempt to hide it.
The design draws from two sources at once: the coconut palm and the jinmenju mentioned in the legends. That mix explains an oddity in the evolutionary line: Exeggcute looks like a handful of broken eggs, not coconuts, and only when it evolves does it become clear that those were the tree’s fruit.
The fourth-best in Kanto
In Generation I, Special Attack and Special Defense were a single stat. That means the 125 served both to hit and to take hits, putting Exeggutor in a position it would never return to: Smogon once described it as the fourth-best Pokémon in that metagame and the best sleep inducer available. It was in OU, and the reason fit into three moves: Sleep Powder to put anything switching in to sleep, Psychic to punish almost anything that was not a special wall, and Explosion to take an opponent down with it on the way out.
It also worked as a wall. Since it resisted Ground-type attacks, it was the most reliable switch-in to Rhydon, and the safest answer to Slowbro. Chansey stopped it, since it had nothing against it besides putting it to sleep or exploding, as did the Starmie, Jynx and Alakazam trio, which absorbed sleep and answered with Thunder Wave or Blizzard. Its weakness to Ice, in a format full of Blizzards, was the price to pay.
What came afterwards
Splitting the Special stats took away half of the deal’s good side: hitting with 125 is fine, but taking hits with 75 is not. In Generation VII, its Special Defense was raised to the current 75, bringing the total to 530, an adjustment that did not change its place on the rankings.
The other novelty of that seventh generation was Alola. There, the species has a regional form with the Grass and Dragon types, much taller —the tallest of all Grass-types— and with a special rule: any Exeggcute in Alola evolves into that form with a Leaf Stone, no matter where it came from. The same item, the same egg, two results depending on the ground beneath its feet.
These days, its niche is in sun teams. Chlorophyll and 125 Special Attack are still a serious combination, and Leaf Storm hits extremely hard the first time; the problem is that the drop in Special Attack afterwards forces it to switch, and without decent recovery every entry costs it health. Sun teams have faster and bulkier sweepers. Exeggutor makes up for it with something almost nobody else has: Trick Room and Chlorophyll on the same Pokémon, two opposite ways of fixing the same 55.