Electronic – EEPROM page size

Look at Figure 7 in the M24C01 datasheet and Figure 9 in the M24C64 datasheet.

The M24C01 only takes one byte for the address and the M24C64 takes two. So the library you are using is sending out a two byte address to the M24C01.

You didn't specify the library you are using. Are you able to specify the address width?

Well, one address generally hold one byte, so if you write to address 200 then the next byte you can write to address 201 and so on.

As for what is considered a byte and what is not, generally the write call only accepts bytes so whatever you give it will be converted to a byte. If the compiler doesn't like that, you will probably get some sort of an error when you compile it. A byte can be either 0 through 255 or -128 through 127.

For writing a page, just write 32 bytes. If you want to use specific page write commands that the chip supports but the library doesn't support, you're out of luck unless you write your own library or find one that does.