2101112111321 has 2 divisors, whose sum is σ = 2101112111322. Its totient is φ = 2101112111320.

The previous prime is 2101112111317. The next prime is 2101112111323. The reversal of 2101112111321 is 1231112111012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2043398775625 + 57713335696 = 1429475^2 + 240236^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101112111321 - 2² = 2101112111317 is a prime.

Together with 2101112111323, 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 2101112111321.

It is not a weakly prime, because it can be changed into another prime (2101112111323) 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, 1050556055660 + 1050556055661.

It is an arithmetic number, because the mean of its divisors is an integer number (1050556055661).

Almost surely, 2^{2101112111321} is an apocalyptic number.

It is an amenable number.

2101112111321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101112111321 is an equidigital number, since it uses as much as digits as its factorization.

2101112111321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 2101112111321 its reverse (1231112111012), we get a palindrome (3332224222333).

The spelling of 2101112111321 in words is "two trillion, one hundred one billion, one hundred twelve million, one hundred eleven thousand, three hundred twenty-one".