3122231111101 has 2 divisors, whose sum is σ = 3122231111102. Its totient is φ = 3122231111100.

The previous prime is 3122231111099. The next prime is 3122231111107. The reversal of 3122231111101 is 1011111322213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2937761720100 + 184469391001 = 1713990^2 + 429499^2 .

It is a cyclic number.

It is not a de Polignac number, because 3122231111101 - 2¹ = 3122231111099 is a prime.

It is a super-2 number, since 2×3122231111101² (a number of 26 digits) contains 22 as substring.

Together with 3122231111099, 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 (3122231111107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561115555550 + 1561115555551.

It is an arithmetic number, because the mean of its divisors is an integer number (1561115555551).

Almost surely, 2^{3122231111101} is an apocalyptic number.

It is an amenable number.

3122231111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3122231111101 is an equidigital number, since it uses as much as digits as its factorization.

3122231111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 3122231111101 its reverse (1011111322213), we get a palindrome (4133342433314).

The spelling of 3122231111101 in words is "three trillion, one hundred twenty-two billion, two hundred thirty-one million, one hundred eleven thousand, one hundred one".