102100220020121 has 2 divisors, whose sum is σ = 102100220020122. Its totient is φ = 102100220020120.

The previous prime is 102100220020109. The next prime is 102100220020177. The reversal of 102100220020121 is 121020022001201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101674249723225 + 425970296896 = 10083365^2 + 652664^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100220020121 - 2³⁸ = 101825342113177 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102100220020096 and 102100220020105.

It is not a weakly prime, because it can be changed into another prime (102100220022121) 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, 51050110010060 + 51050110010061.

It is an arithmetic number, because the mean of its divisors is an integer number (51050110010061).

Almost surely, 2^{102100220020121} is an apocalyptic number.

It is an amenable number.

102100220020121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100220020121 is an equidigital number, since it uses as much as digits as its factorization.

102100220020121 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 14.

Adding to 102100220020121 its reverse (121020022001201), we get a palindrome (223120242021322).

The spelling of 102100220020121 in words is "one hundred two trillion, one hundred billion, two hundred twenty million, twenty thousand, one hundred twenty-one".