1221322122101 has 2 divisors, whose sum is σ = 1221322122102. Its totient is φ = 1221322122100.

The previous prime is 1221322122089. The next prime is 1221322122103. The reversal of 1221322122101 is 1012212231221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 792295812100 + 429026310001 = 890110^2 + 655001^2 .

It is a cyclic number.

It is not a de Polignac number, because 1221322122101 - 2¹⁰ = 1221322121077 is a prime.

Together with 1221322122103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1221322122103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610661061050 + 610661061051.

It is an arithmetic number, because the mean of its divisors is an integer number (610661061051).

Almost surely, 2^{1221322122101} is an apocalyptic number.

It is an amenable number.

1221322122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221322122101 is an equidigital number, since it uses as much as digits as its factorization.

1221322122101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1221322122101 its reverse (1012212231221), we get a palindrome (2233534353322).

The spelling of 1221322122101 in words is "one trillion, two hundred twenty-one billion, three hundred twenty-two million, one hundred twenty-two thousand, one hundred one".