An attempt was made to determine molecular parameters of cellulose dissolved in simple solvents. Cellulose regenerated from a cuprammonium solution of acid-hydrolized cotton linters was found to dissolve molecularly, without suffering molecular degradation, into 6 wt% aqueous LiOH solution by choosing an adequate condition. The apparent weight-average molecular weight Mw*, of cellulose obtained by light scattering in a non-dialyzed aqueous LiOH, was converted into the correct weight-average molecular weight Mw with the aid of the data on Mw* and Mw for a dialyzed cadoxen solution of cellulose. The Mark–Houwink–Sakurada equation for cellulose in aq LiOH was [η]=2.78×10−2 Mw0.79 at 25°C {[η]; limiting viscosity number}. The Flory’s viscosity parameter Φ for this system was significantly smaller than the theoretical value for unperturbed chains at non-draining limit, showing a molecular weight dependence. The linear expansion factor for the radius of gyration was always below 1.04 as estimated from the penetration function. The unperturbed chain dimensions were estimated by various methods using the light scattering and/or viscometric data. Cellulose was found to be semiflexible in aq LiOH.