We present interferometric observations of the CN(1-0) line emission in Mrk231 and combine them with previous observations of CO and other H$2$ gas tracers to study the physical properties of the massive molecular outflow. We find a strong boost of the CN/CO(1-0) line luminosity ratio in the outflow, which is unprecedented compared to any other known Galactic or extragalactic source. For the dense gas phase in the outflow traced by the HCN and CN emissions, we infer $XCN\equiv [CN]/[H2]>XHCN$ by at least a factor of three, with H$2$ gas densities of $nH2\sim 105-6$ cm$\mathrm{<mrow\; data-mjx-texclass="ORD">-3</mrow>}$. In addition, for the first time, we resolve narrow spectral features in the HCN(1-0) and HCO$+$(1-0) high-velocity line wings tracing the dense phase of the outflow. The velocity dispersions of these spectral features, $\sigma v\sim 7-20$ km s$\mathrm{<mrow\; data-mjx-texclass="ORD">-1</mrow>}$, are consistent with those of massive extragalactic giant molecular clouds detected in nearby starburst nuclei. The H$2$ gas masses inferred from the HCN data are quite high, $Mmol\sim 0.3-5\times 108$ $M\odot$. Our results suggest that massive, denser molecular gas complexes survive embedded into the more diffuse H$2$ phase of the outflow, and that the chemistry of such outflowing dense clouds is affected by enhanced UV radiation.