Abstract business name with a wide range of uses. The name applies to anything "universal" or "unique".
Unii has only four letters and three syllables. Established brands using three syllable names include Armani, Vodafone and Mastercard.
Unii.com is a dot com domain. Dot com domains are the most valued top-level-domain in the world, famously used by websites like twitter.com. When most people think of a website, they think of a dot com.