Answer
$5.34\times10^{21}$ photons per second.
Work Step by Step
Find the photon energy.
$$E=hf=h\frac{c}{\lambda}$$
$$E=\frac{1.24\times10^{-6}eV\cdot m}{10.6\times10^{-6}m }= 0.117eV$$
We know the power of the laser beam is 0.100kW, so 100J per second is delivered. 100J is $6.25\times10^{20}$ eV. The number of photons delivered per second can then be calculated.
$$N=\frac{6.25\times10^{20}eV/s}{0.117eV /photon}=5.34\times10^{21} photon/s$$
