Catalyzes the phosphorylation of erythritol to D-erythritol-1-phosphate. ATP + erythritol = ADP + D-erythritol 1-phosphate + H(+) Carbohydrate metabolism; erythritol degradation. Induced by erythritol and repressed by EryD. Belongs to the FGGY kinase family. Truncated N-terminus.