122221212101 has 2 divisors, whose sum is σ = 122221212102. Its totient is φ = 122221212100.

The previous prime is 122221212079. The next prime is 122221212103. The reversal of 122221212101 is 101212122221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115936845025 + 6284367076 = 340495^2 + 79274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122221212101 is a prime.

Together with 122221212103, 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 122221212101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122221212103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110606050 + 61110606051.

It is an arithmetic number, because the mean of its divisors is an integer number (61110606051).

Almost surely, 2^122221212101 is an apocalyptic number.

It is an amenable number.

122221212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221212101 is an equidigital number, since it uses as much as digits as its factorization.

122221212101 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 122221212101 its reverse (101212122221), we get a palindrome (223433334322).

The spelling of 122221212101 in words is "one hundred twenty-two billion, two hundred twenty-one million, two hundred twelve thousand, one hundred one".