Addi is a Tigrinya term meaning "village" derived from the Ge'ez word "Ad" meaning "son." The word can be found in many village and city names in Tigray Region

Tigray Region

Tigray Region is the northernmost of the nine ethnic regions of Ethiopia containing the homeland of the Tigray people. It was formerly known as Region 1...

, Ethiopia

Ethiopia

Ethiopia , officially known as the Federal Democratic Republic of Ethiopia, is a country located in the Horn of Africa. It is the second-most populous nation in Africa, with over 82 million inhabitants, and the tenth-largest by area, occupying 1,100,000 km2...

and Tigre and Tigrinya-speaking Eritrea.

“addi” when used while creating and SMS or computer jargon could also indicate the abbreviation “Address” or more specifically “Email Address”.