What data is saved in RSA private key? What data is saved in RSA private key in openssl? How to view it?

Wikpedia says these variables are saved.
You can print the data with (change PEM to DER if required):

openssl rsa -in Alice.key -text -inform PEM -noout

The following data is stored:


Modulus ($n = pq$)
Public exponent ($e$)
Private exponent ($d = e^{-1} \pmod{\phi{(n)}}$)
First prime ($p$)
Second prime ($q$)
First exponent, used for Chinese remainder theorem ($d_P = d \pmod{p - 1}$)
Second exponent, used for CRT ($d_Q = d \pmod{q - 1}$)
Coefficient, used for CRT ($q_{\mathrm{inv}} = q^{-1} \pmod{p}$)