This study is for patients who have been diagnosed with localized and locally advanced high-risk prostate cancer who are planned for radical prostatectomy (surgical removal of the whole prostate and surrounding tissue). This is a research study to find out if experimental medication called apalutamide (also known as JNJ-56021927) plus androgen deprivation therapy (ADT) , also known as hormone therapy, is safe and could improve the results of surgery and delay the time to when prostate cancer tumors spread to other parts of the body.