The short answer is: sort of.
Yes, the crankcase number T100R is a Daytona number so yes, you have a Daytona. But it can also be called a Tiger because:
'Tiger' is a moniker that's been affiliated with Triumph since Edward Turner became the chief designer in the 1930s. He revamped the single-cylinder range and dubbed them 'Tigers' followed by a number to suggest a top speed; e.g. 'Tiger 90' in the case of the 500cc to imply a 90mph capability. The 'Tiger 100' (read: tiger-hundred) was the sports version of the 500cc Speed-Twin.
The name stuck with the 500 sports but wasn't really applied to the 650cc models which were simply the 6TA Thunderbird, T110, TR6 Trophy and T120 Bonneville.
'Daytona' Is a name Triumph gave to the twin-carb sports variant of the T100 released in 1967 (I think?) to capitalise on the success of their racing bikes on the Daytona Beach circuit, and this name stuck with twin-carb 500cc triumphs until the last (1973).
So you have a 'Tiger-hundred Daytona'
But hey, 'wots in a name,' eh?
You should be getting better than 110 kph from the machine though, even with a single carburettor. Has the ignition been timed correctly?