Thank you very much shenwei356 for your reply.
So if I understood correctly, bedtools complement will output the coordinates of the regions that are not covered by a hit and bedtools getfasta will extract the fasta sequences?
edit: I managed to convert my Blastn result file in a .bed file. Now I'm stuck with bedtools complement as I need to input a genome file (-g). Indeed, in my customed database I dowloaded multiple contigs (117,136 contigs to be exact). The genome file is required to be a 2-column file with the name of the contigs alongside their size in bp. Is there a way to design a genome file for bedtool with this many contigs?