If you were to travel at the speed of light at what amount will time slow down around you
If you were to travel at the speed of light, then the estimate of time slowing down around you would be a half less than the normal time. This is just from the hypothesis of "Time Travel to the Future via Special Relativity." If you were to travel for 10 years through the wormhole, then you would have aged 5 years while outside. Check out http://ocw.mit.edu/high-school/courses/excitatory-topics-in-physics/lecture-notes/time_travel.pdf for more details.
if you were to remain on earth, then hypothetically: an entire month would feel like a single second
Time stops at the speed of light for the matter that we are made up of. If you traveled at the speed of light across our galaxy, it would take about 100,000 years earth time for you to cross, yet you would have experienced no time flow at all.