212102121010121 has 2 divisors, whose sum is σ = 212102121010122. Its totient is φ = 212102121010120.

The previous prime is 212102121010103. The next prime is 212102121010123. The reversal of 212102121010121 is 121010121201212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174400126372096 + 37701994638025 = 13206064^2 + 6140195^2 .

It is a cyclic number.

It is not a de Polignac number, because 212102121010121 - 2⁶ = 212102121010057 is a prime.

Together with 212102121010123, 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 212102121010121.

It is not a weakly prime, because it can be changed into another prime (212102121010123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106051060505060 + 106051060505061.

It is an arithmetic number, because the mean of its divisors is an integer number (106051060505061).

Almost surely, 2^{212102121010121} is an apocalyptic number.

It is an amenable number.

212102121010121 is a deficient number, since it is larger than the sum of its proper divisors (1).

212102121010121 is an equidigital number, since it uses as much as digits as its factorization.

212102121010121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 212102121010121 its reverse (121010121201212), we get a palindrome (333112242211333).

The spelling of 212102121010121 in words is "two hundred twelve trillion, one hundred two billion, one hundred twenty-one million, ten thousand, one hundred twenty-one".