101020122102121 has 2 divisors, whose sum is σ = 101020122102122. Its totient is φ = 101020122102120.

The previous prime is 101020122102079. The next prime is 101020122102131. The reversal of 101020122102121 is 121201221020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92709937960000 + 8310184142121 = 9628600^2 + 2882739^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020122102121 - 2⁷ = 101020122101993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101020122102095 and 101020122102104.

It is not a weakly prime, because it can be changed into another prime (101020122102131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510061051060 + 50510061051061.

It is an arithmetic number, because the mean of its divisors is an integer number (50510061051061).

Almost surely, 2^{101020122102121} is an apocalyptic number.

It is an amenable number.

101020122102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020122102121 is an equidigital number, since it uses as much as digits as its factorization.

101020122102121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101020122102121 its reverse (121201221020101), we get a palindrome (222221343122222).

The spelling of 101020122102121 in words is "one hundred one trillion, twenty billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty-one".