102121012020121 has 2 divisors, whose sum is σ = 102121012020122. Its totient is φ = 102121012020120.

The previous prime is 102121012020109. The next prime is 102121012020127. The reversal of 102121012020121 is 121020210121201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101897718913600 + 223293106521 = 10094440^2 + 472539^2 .

It is a cyclic number.

It is not a de Polignac number, because 102121012020121 - 2¹⁵ = 102121011987353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102121012020095 and 102121012020104.

It is not a weakly prime, because it can be changed into another prime (102121012020127) 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, 51060506010060 + 51060506010061.

It is an arithmetic number, because the mean of its divisors is an integer number (51060506010061).

Almost surely, 2^{102121012020121} is an apocalyptic number.

It is an amenable number.

102121012020121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121012020121 is an equidigital number, since it uses as much as digits as its factorization.

102121012020121 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 102121012020121 its reverse (121020210121201), we get a palindrome (223141222141322).

The spelling of 102121012020121 in words is "one hundred two trillion, one hundred twenty-one billion, twelve million, twenty thousand, one hundred twenty-one".