A memory system includes a non-volatile memory having a plurality of memory cells, and a controller configured to carry out write operations in a first mode in which n-bit data is written per target memory cell of the non-volatile memory until an allowable data amount of data items has been written, and then, in a second mode in which m-bit data is written per target memory cell of the non-volatile memory, where n is an integer of one or more and m is an integer greater than n. The controller is further configured to detect that an idle state, in which a command has not been received from the host, has continued for a threshold period of time or more, increase the allowable data amount in response thereto, and after the increase, carry out a write operation to write data items in the non-volatile memory in the first mode.