Kadota can fruit alone, but it still benefits from a partner. Common figs do not need a second tree for pollination, but a second variety can still give you more total fruit and better backup. It flowers in mid-summer fruiting season, which is worth knowing if you add a second tree later. Usually grown in USDA zones 7-10.
No single variety stands out as the obvious partner, but that is not a problem here: Black Mission, Brown Turkey, Chicago Hardy, LSU Purple, and Violette de Bordeaux all bloom close enough to work. There are 2 more in the list below. Pick whichever your nursery actually carries. Figs do not need a nearby partner for normal home-garden fruiting, but grouping two varieties can still be handy for harvest timing and insurance.
One thing to keep in mind. Common figs do not need a second tree for pollination. Extra varieties are optional, not required. Chill note: Less than 300 chill hours.
To put that into practice: at a minimum, one common fig is enough for fruit in most home plantings. Better still, plant two common figs only if you want a longer season, more total harvest, or a backup after cold damage. If a fig is not fruiting well, fix winter injury, sunlight, and pruning first before assuming it needs a pollination partner.