102212101012121 has 2 divisors, whose sum is σ = 102212101012122. Its totient is φ = 102212101012120.

The previous prime is 102212101012079. The next prime is 102212101012123. The reversal of 102212101012121 is 121210101212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93463727216896 + 8748373795225 = 9667664^2 + 2957765^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102212101012121 is a prime.

Together with 102212101012123, 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 102212101012121.

It is not a weakly prime, because it can be changed into another prime (102212101012123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106050506060 + 51106050506061.

It is an arithmetic number, because the mean of its divisors is an integer number (51106050506061).

Almost surely, 2^{102212101012121} is an apocalyptic number.

It is an amenable number.

102212101012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212101012121 is an equidigital number, since it uses as much as digits as its factorization.

102212101012121 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 102212101012121 its reverse (121210101212201), we get a palindrome (223422202224322).

The spelling of 102212101012121 in words is "one hundred two trillion, two hundred twelve billion, one hundred one million, twelve thousand, one hundred twenty-one".