So if they move at nearly the speed of light, let's say 0.99997 c, that's 2.99783 x 10^8 meters per second.

Assuming that you're standing exactly at solar midnight, exactly on the opposite side of the planet as the sun, and all 100 trillion neutrinos are coming from the sun and through your 1.8 meter height, each neutrino will be in your body for 6 x 10^-9 seconds.

So at any given moment, there should be about 600,000 neutrinos in you.

I'm pretty sure all those assumptions are inaccurate, but that's the number I got.