10.0.0.1 or 10.0.0.0.1 is a private IP address reserved by IP organization to be used by anyone within private networks. 10.0.0.1 is part of private IP c class range of 10.0.0.0 - 10.255.255.255, which are assigned to different devices connected to a router device internally. IP address like 10.0.0.1 are common and be used by anyone within their own private Local Area Networks (LAN), to communicate between LAN devices. Howerver, IP address like 10.0.0.1 cannot be used to connect to internet and a public proxy gateway or iP address is needed to surf internet. This is the reason no physical IP location is assigned to any private ip address.
Like any other private ip address 10.0.0.1 can be used to log into router's admin panel if 10.0.0.1 is set as a default gateway by the user or router's manufacturer. 10.0.0.1 is commonly preassigned by the manufacturer of the router devices such as TP-LINK, D-LINK and NETGREAR etc. Do not mistype it as 10.0.0.0.1
To log into router's admin panel using 10.0.0.1 please follow the guideline below:
There is no need to worry if you forgot admin username and password for your router admin login page. To reset your router's admin password you will have to reset your router to it's factory setting. To do this you will have to find a small reset button on the back side of the router. Press the button for a minute or two and it will reset it to it's factory settings so then you can use default username and password to log into your router's admin panel.
Since 10.0.0.1 is part of private ip addresses and can be used by anyone within the LAN networks, it is not possible to assign physical address of private IP addresses. Read this article to find difference between Public and Private IP address.
192.168.1.1 is part of private C class range which is reserved for private networks. Therefore, the ranges are never assigned to any private organizations and can be used by anyone within their private networks. To check complete details you can also perform IP WHOIS Lookup.