The 1st term is 16. Since 16 is even, the 2nd term is $\frac{1}{2} \cdot 16+1=9$. Since 9 is odd, the 3rd term is $\frac{1}{2}(9+1)=5$. Since 5 is odd, the 4th term is $\frac{1}{2}(5+1)=3$. Since 3 is odd, the 5th term is $\frac{1}{2}(3+1)=2$. Since 2 is even, the 6th term is $\frac{1}{2} \cdot 2+1=2$. This previous step shows us that when one term is 2, the next term will also be 2. Thus, the remaining terms in this sequence are all 2. In particular, the 101st term is 2.