142,000 doses of the Pfizer coronavirus vaccine have arrived in Australia, and will soon be divvied up and given to people next week.

While it's a great start, it's only the beginning of a very long process to get as many as people across Australia vaccinated by the end of the year.

It's a huge challenge, and obstacles include keeping the Pfizer vaccine cold enough, making sure the right people receive it first and keeping records to ensure it's working as hoped.

So on today's Coronacast, what's next for the rollout of the coronavirus vaccine?

Also on today's show:

* Study finds anaphylaxis to be rare after mRNA vaccinations

* An update on Melbourne's case numbers

* What can infection, age and obesity tell us about super-spreading?

* Why COVID-19 is not like the flu