split a multi-page pdf file into multiple pdf files with python?

I would like to take a multi-page pdf file and create separate pdf files per page.

I have downloaded reportlab and have browsed the documentation, but it seems aimed at pdf generation. I haven't yet seen anything about processing PDF files themselves.

Is there an easy way to do this in python?

from PyPDF2 import PdfFileWriter, PdfFileReader

inputpdf = PdfFileReader(open("document.pdf", "rb"))

for i in range(inputpdf.numPages):
    output = PdfFileWriter()
    output.addPage(inputpdf.getPage(i))
    with open("document-page%s.pdf" % i, "wb") as outputStream:
        output.write(outputStream)

etc.

I missed here a solution where you split the PDF to two parts consisting of all pages so I append my solution if somebody was looking for the same:

from PyPDF2 import PdfFileWriter, PdfFileReader

def split_pdf_to_two(filename,page_number):
    pdf_reader = PdfFileReader(open(filename, "rb"))
    try:
        assert page_number < pdf_reader.numPages
        pdf_writer1 = PdfFileWriter()
        pdf_writer2 = PdfFileWriter()

        for page in range(page_number):
            pdf_writer1.addPage(pdf_reader.getPage(page))

        for page in range(page_number,pdf_reader.getNumPages()):
            pdf_writer2.addPage(pdf_reader.getPage(page))

        with open("part1.pdf", 'wb') as file1:
            pdf_writer1.write(file1)

        with open("part2.pdf", 'wb') as file2:
            pdf_writer2.write(file2)

    except AssertionError as e:
        print("Error: The PDF you are cutting has less pages than you want to cut!")