Number of cell divisions = log2 (final cell number / initial cell number)
Given that the final cell number is 100 trillion (10^14) and the initial cell number is 1 (the zygote), we can calculate the number of cell divisions as follows:
Number of cell divisions = log2 (10^14 / 1)
= log2 (10^14)
= 14
Therefore, it would take 14 mitotic cell divisions for one zygote to grow into an organism with 100 trillion cells.