I am a Dutch citizen and I want to apply in Tokyo for a visa for at least three months

I have heard that it is difficult to get it in Japan, if you don't have the Japanese nationality. Is this correct? If it is possible, will it be possible in 4 days?

I will be doing a study-related internship and can get an invitation letter from the company. When I applied for the first time for this (back in the Netherlands) I got an double-entry F. I need an extra one, however, since I plan to stay longer.