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Non-supersymmetric Grand Unified $SO(10)\times U(1)_{\rm PQ}$ models have allthe ingredients to solve several fundamental problems of particle physics andcosmology -- neutrino masses and mixing, baryogenesis, the non-observation ofstrong CP violation, dark matter, inflation -- in one stroke. The axion - thepseudo Nambu-Goldstone boson arising from the spontaneous breaking of the$U(1)_{\rm PQ}$ Peccei-Quinn symmetry - is the prime dark matter candidate inthis setup. We determine the axion mass and the low energy couplings of theaxion to the Standard Model particles, in terms of the relevant gauge symmetrybreaking scales. We work out the constraints imposed on the latter by gaugecoupling unification. We discuss the cosmological and phenomenologicalimplications.

Axion Predictions in $SO(10)\times U(1)_{\rm PQ}$ Models