102002122012121 has 2 divisors, whose sum is σ = 102002122012122. Its totient is φ = 102002122012120.

The previous prime is 102002122012117. The next prime is 102002122012123. The reversal of 102002122012121 is 121210221200201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101602368040000 + 399753972121 = 10079800^2 + 632261^2 .

It is a cyclic number.

It is not a de Polignac number, because 102002122012121 - 2² = 102002122012117 is a prime.

Together with 102002122012123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102002122012121.

It is not a weakly prime, because it can be changed into another prime (102002122012123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51001061006060 + 51001061006061.

It is an arithmetic number, because the mean of its divisors is an integer number (51001061006061).

Almost surely, 2^{102002122012121} is an apocalyptic number.

It is an amenable number.

102002122012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102002122012121 is an equidigital number, since it uses as much as digits as its factorization.

102002122012121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102002122012121 its reverse (121210221200201), we get a palindrome (223212343212322).

The spelling of 102002122012121 in words is "one hundred two trillion, two billion, one hundred twenty-two million, twelve thousand, one hundred twenty-one".