101021020020121 has 2 divisors, whose sum is σ = 101021020020122. Its totient is φ = 101021020020120.

The previous prime is 101021020020079. The next prime is 101021020020139. The reversal of 101021020020121 is 121020020120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95593424741721 + 5427595278400 = 9777189^2 + 2329720^2 .

It is an emirp because it is prime and its reverse (121020020120101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101021020020121 - 2⁷ = 101021020019993 is a prime.

It is not a weakly prime, because it can be changed into another prime (101021020050121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510510010060 + 50510510010061.

It is an arithmetic number, because the mean of its divisors is an integer number (50510510010061).

Almost surely, 2^{101021020020121} is an apocalyptic number.

It is an amenable number.

101021020020121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021020020121 is an equidigital number, since it uses as much as digits as its factorization.

101021020020121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101021020020121 its reverse (121020020120101), we get a palindrome (222041040140222).

The spelling of 101021020020121 in words is "one hundred one trillion, twenty-one billion, twenty million, twenty thousand, one hundred twenty-one".