  We consider how measurements of the 21cm radiation from the epoch of
reionization (z=8-12) can constrain the amplitudes of various `shapes' of
primordial non-Gaussianity. The limits on these shapes, each parametrized by
the non-linear parameter, f_NL, can reveal whether the physics of inflation is
more complex than the standard single-field, slow-roll scenario. In this work,
we quantify the effects of the well-known local, equilateral, orthogonal and
folded types of non-Gaussianities on the 21cm power spectrum, which is expected
to be measured by upcoming radio arrays such as the Square-Kilometre Array
(SKA). We also assess the prospects of the SKA in constraining these
non-Gaussianities, and found constraints that are comparable with those
expected from cosmic-microwave-background experiments such as Planck. We show
that the limits on various f_NL can be tightened to O(1) using a radio array
with a futuristic but realistic set of specifications.
