Actually it is limited to units. You can still divide a Bitcoin into satoshis, and these satoshis are limited in their printing. He used 21 million units of Bitcoin, but since you want to get technical, it's actually 21,000,000,000,000,000 satoshi. I don't know what possible source gave you the idea that divisibility == unlimited, but sadly, it's wrong.

Also, please take your "digital gold" meme and use it on r/Bitcoin. Not only does Bitcoin's price contain the speculative valuation of a million people who call it a currency (regardless of your particular vision) but that vision also has a million flaws. It's rather funny, when someone points out its flaws as "digital gold" then the Bitcoin troglodites come out and call it a currency. When you point out its flaws as a currency, they correct you that it is, in fact, digital gold. When in fact, it's just a technology medium for transmitting value without the economic mechanisms to be a currency, nor the historical/economic/political/social mechanisms to be a 'digital gold'.