A zygote is the first stage after fertilization, when the two gametes (sperm and egg) combine their genetic material. The human gametes each contain 23 chromosomes, combining in the zygote for a total of 46 chromosomes. This number, however, is not a genotype.
If you are asking about the gender, specifically, then the male genotype can be represented as XY, meaning the egg cell contributed an X chromosome and the spermatozoid contributed a Y chromosome. This is no different than any other stage of development from blastocyst, embryo, fetus, or adult.