102010112212121 has 2 divisors, whose sum is σ = 102010112212122. Its totient is φ = 102010112212120.

The previous prime is 102010112212103. The next prime is 102010112212123. The reversal of 102010112212121 is 121212211010201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84702939696400 + 17307172515721 = 9203420^2 + 4160189^2 .

It is a cyclic number.

It is not a de Polignac number, because 102010112212121 - 2¹⁰ = 102010112211097 is a prime.

Together with 102010112212123, 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 102010112212121.

It is not a weakly prime, because it can be changed into another prime (102010112212123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005056106060 + 51005056106061.

It is an arithmetic number, because the mean of its divisors is an integer number (51005056106061).

Almost surely, 2^{102010112212121} is an apocalyptic number.

It is an amenable number.

102010112212121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102010112212121 is an equidigital number, since it uses as much as digits as its factorization.

102010112212121 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 17.

Adding to 102010112212121 its reverse (121212211010201), we get a palindrome (223222323222322).

The spelling of 102010112212121 in words is "one hundred two trillion, ten billion, one hundred twelve million, two hundred twelve thousand, one hundred twenty-one".