Google’s Search Advocate, John Mueller, made clear that websites don’t need 200,000 words to be seen as authoritative by Google. This follows a tweet saying that “You need around 200,000 words on your website to be considered authoritative by Google.”
John responded later, saying: “I don’t know who made up that 200,000 word number, it’s definitely not from Google”.
So no, a website doesn’t need 200,000 words to be considered authoritative. What it really needs is high-quality content that delivers and catches Google’s eye.