pgfplots axis labels with variable scale and abbreviation

After a bit a research, I’m using this solution to abbreviate my y-axis labels. However, this only allows me to set a single abbreviation. My data spans multiple orders of magnitude, and I’d like to abbreviate each accordingly.

documentclass{article}
usepackage{pgfplots}
pgfplotsset{compat=1.17}

begin{document}
definecolor{bblue}{HTML}{4F81BD}
definecolor{rred}{HTML}{C0504D}
begin{tikzpicture}
    begin{axis}[
        width = 0.85*textwidth,
        height = 8cm,
        major x tick style = transparent,
        ybar = 2*pgflinewidth,
        bar width = 10pt,
        ymajorgrids = true,
        ylabel = {Gastos Totais (R$)},
        symbolic x coords={2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020},
        y coord trafo/.code={pgfmathparse{pgfmathresult/1000000}},
        yticklabel = pgfmathprintnumber{tick},mi,
        xtick = data,
        scaled y ticks = false,
        enlarge x limits = 0.10,
        ymin = 0,
        legend cell align = left,
        legend style={
                at={(1,1.05)},
                anchor=south east,
                column sep = 1ex
        },
        /pgf/number format/.cd,
            use comma,
            1000 sep = {.}
        ]
        addplot[style={bblue,fill=bblue,mark=none}]
            coordinates {(2010, 134148978.40)
                         (2011, 163850342.64)
                         (2012, 189780916.97)
                         (2013, 226166578.45)
                         (2014, 246515645.81)
                         (2015, 313435568.42)
                         (2016, 321922725.99)
                         (2017, 351241496.32)
                         (2018, 348859916.86)
                         (2019, 464608106.68)
                         (2020, 316765254.56)};
        addplot[style={rred,fill=rred,mark=none}]
            coordinates {(2010, 584857230.67)
                         (2011, 633624150.04)
                         (2012, 675257494.54)
                         (2013, 730684305.39)
                         (2014, 837961674.33)
                         (2015, 890103343.15)
                         (2016, 937943259.40)
                         (2017, 988067801.53)
                         (2018, 1043622588.84)
                         (2019, 1264544768.36)
                         (2020, 844383399.89)};
        legend{Defensoria Pública,Ministério Público}
    end{axis}
end{tikzpicture}

end{document}

This produces the following graph:

How can I make it so that the zero appears without any extra label (just "0") and the billions appear instead scaled by another 1000 and with the abbreviation "bi"?