311220121022101 has 2 divisors, whose sum is σ = 311220121022102. Its totient is φ = 311220121022100.

The previous prime is 311220121022099. The next prime is 311220121022113. The reversal of 311220121022101 is 101220121022113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310628252373201 + 591868648900 = 17624649^2 + 769330^2 .

It is a cyclic number.

It is not a de Polignac number, because 311220121022101 - 2¹ = 311220121022099 is a prime.

It is a super-2 number, since 2×311220121022101² (a number of 30 digits) contains 22 as substring.

Together with 311220121022099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311220121022131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155610060511050 + 155610060511051.

It is an arithmetic number, because the mean of its divisors is an integer number (155610060511051).

Almost surely, 2^{311220121022101} is an apocalyptic number.

It is an amenable number.

311220121022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

311220121022101 is an equidigital number, since it uses as much as digits as its factorization.

311220121022101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 311220121022101 its reverse (101220121022113), we get a palindrome (412440242044214).

The spelling of 311220121022101 in words is "three hundred eleven trillion, two hundred twenty billion, one hundred twenty-one million, twenty-two thousand, one hundred one".