10211211202121 has 2 divisors, whose sum is σ = 10211211202122. Its totient is φ = 10211211202120.

The previous prime is 10211211202099. The next prime is 10211211202123. The reversal of 10211211202121 is 12120211211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6079183360000 + 4132027842121 = 2465600^2 + 2032739^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211211202121 - 2¹⁰ = 10211211201097 is a prime.

Together with 10211211202123, 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 10211211202121.

It is not a weakly prime, because it can be changed into another prime (10211211202123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105605601060 + 5105605601061.

It is an arithmetic number, because the mean of its divisors is an integer number (5105605601061).

Almost surely, 2^{10211211202121} is an apocalyptic number.

It is an amenable number.

10211211202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211211202121 is an equidigital number, since it uses as much as digits as its factorization.

10211211202121 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 10211211202121 its reverse (12120211211201), we get a palindrome (22331422413322).

The spelling of 10211211202121 in words is "ten trillion, two hundred eleven billion, two hundred eleven million, two hundred two thousand, one hundred twenty-one".