No, your SMS center (SMSC) number should not be your phone number. The SMSC is a network element that handles the delivery of SMS (Short Message Service) messages between mobile devices. It acts as a gateway between the mobile network and the internet, and is responsible for routing messages to their intended recipients.

Every mobile device has an SMSC number programmed into its firmware, which is used to send and receive SMS messages. This number is typically set by the mobile network operator and is not the same as your phone number.
The SMSC number is used by your phone to send SMS messages to other mobile devices, and it is also used by the network to deliver incoming messages to your phone. When you send an SMS message, your phone sends it to the SMSC, which then routes it to the recipient’s phone via the mobile network. When someone sends you an SMS message, the message is delivered to the SMSC, which then sends it to your phone.
It’s important to ensure that your phone is configured with the correct SMSC number. If the SMSC number is incorrect or missing, you may not be able to send or receive SMS messages. In some cases, messages may be delayed or not delivered at all.
To check the SMSC number on your phone, you can usually find it in the SMS settings menu. The location of this menu may vary depending on your phone model and operating system. In some cases, you may need to contact your mobile network operator to obtain the correct SMSC number.
In summary, your SMS center (SMSC) number should not be your phone number. The SMSC is a network element that handles the delivery of SMS messages between mobile devices, and every mobile device has an SMSC number programmed into its firmware. It’s important to ensure that your phone is configured with the correct SMSC number to ensure that you can send and receive SMS messages without issues. If you’re unsure about the correct SMSC number for your phone, you can usually find it in the SMS settings menu or by contacting your mobile network operator.