Abstract business name with a wide range of uses. The name applies to anything "universal" or "unique".
Unii has only four characters and three syllables. Established brands using three syllable names include Grammarly, Verizon and Heineken.
Unii.com is a .com domain. Dot com domains are the most sought after domain extension in the world, famously used by websites like google.com. Once you own a .com, it will be much easier to rank for your own name in Google.