F#, 202 163 150149 bytes
Seq.unfold(fun(a,b)->printfn"%s"(a%6m|>int|>function|0a%6m|>function|0m->"FiboNacci"|2|4>"FiboNacci"|2m|4m->"Fibo"|3>"Fibo"|3m->"Nacci"|_->string a);Some(1,(b,a+b)))(1m,1m)|>Seq.take 100|>Seq.sum This is an FSX (F# script) file