102121030013 has 2 divisors, whose sum is σ = 102121030014. Its totient is φ = 102121030012.

The previous prime is 102121029973. The next prime is 102121030201. The reversal of 102121030013 is 310030121201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88305848569 + 13815181444 = 297163^2 + 117538^2 .

It is a cyclic number.

It is not a de Polignac number, because 102121030013 - 2¹² = 102121025917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102121030013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102121030213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060515006 + 51060515007.

It is an arithmetic number, because the mean of its divisors is an integer number (51060515007).

Almost surely, 2^102121030013 is an apocalyptic number.

It is an amenable number.

102121030013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121030013 is an equidigital number, since it uses as much as digits as its factorization.

102121030013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 102121030013 its reverse (310030121201), we get a palindrome (412151151214).

The spelling of 102121030013 in words is "one hundred two billion, one hundred twenty-one million, thirty thousand, thirteen".