12202121220101 has 2 divisors, whose sum is σ = 12202121220102. Its totient is φ = 12202121220100.

The previous prime is 12202121220031. The next prime is 12202121220103. The reversal of 12202121220101 is 10102212120221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11704602597601 + 497518622500 = 3421199^2 + 705350^2 .

It is a cyclic number.

It is not a de Polignac number, because 12202121220101 - 2¹⁴ = 12202121203717 is a prime.

It is a Sophie Germain prime.

Together with 12202121220103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12202121220101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12202121220103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6101060610050 + 6101060610051.

It is an arithmetic number, because the mean of its divisors is an integer number (6101060610051).

Almost surely, 2^{12202121220101} is an apocalyptic number.

It is an amenable number.

12202121220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12202121220101 is an equidigital number, since it uses as much as digits as its factorization.

12202121220101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12202121220101 its reverse (10102212120221), we get a palindrome (22304333340322).

The spelling of 12202121220101 in words is "twelve trillion, two hundred two billion, one hundred twenty-one million, two hundred twenty thousand, one hundred one".