12210101212121 has 2 divisors, whose sum is σ = 12210101212122. Its totient is φ = 12210101212120.

The previous prime is 12210101212093. The next prime is 12210101212123. The reversal of 12210101212121 is 12121210101221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11452565978896 + 757535233225 = 3384164^2 + 870365^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12210101212121 is a prime.

It is a super-2 number, since 2×12210101212121² (a number of 27 digits) contains 22 as substring.

Together with 12210101212123, 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 12210101212121.

It is not a weakly prime, because it can be changed into another prime (12210101212123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105050606060 + 6105050606061.

It is an arithmetic number, because the mean of its divisors is an integer number (6105050606061).

Almost surely, 2^{12210101212121} is an apocalyptic number.

It is an amenable number.

12210101212121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210101212121 is an equidigital number, since it uses as much as digits as its factorization.

12210101212121 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 12210101212121 its reverse (12121210101221), we get a palindrome (24331311313342).

The spelling of 12210101212121 in words is "twelve trillion, two hundred ten billion, one hundred one million, two hundred twelve thousand, one hundred twenty-one".