Abstract business name with a wide range of uses. The name applies to anything "universal" or "unique".
The word "unii" contains only four letters and three syllables. Three syllable names are used by established brands like Adidas, Vodafone and Verizon.
Unii.com is a dot-com domain. Dot com domains are the most desirable top-level-domain in the world, famously used by websites like twitter.com. A dot-com is the first thing people think of when they think of a website.