212012002121 has 2 divisors, whose sum is σ = 212012002122. Its totient is φ = 212012002120.

The previous prime is 212012002109. The next prime is 212012002123. The reversal of 212012002121 is 121200210212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155267521600 + 56744480521 = 394040^2 + 238211^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212012002121 is a prime.

Together with 212012002123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 212012002096 and 212012002105.

It is not a weakly prime, because it can be changed into another prime (212012002123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106006001060 + 106006001061.

It is an arithmetic number, because the mean of its divisors is an integer number (106006001061).

Almost surely, 2^212012002121 is an apocalyptic number.

It is an amenable number.

212012002121 is a deficient number, since it is larger than the sum of its proper divisors (1).

212012002121 is an equidigital number, since it uses as much as digits as its factorization.

212012002121 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 14.

Adding to 212012002121 its reverse (121200210212), we get a palindrome (333212212333).

The spelling of 212012002121 in words is "two hundred twelve billion, twelve million, two thousand, one hundred twenty-one".