2231113300121 has 2 divisors, whose sum is σ = 2231113300122. Its totient is φ = 2231113300120.

The previous prime is 2231113300081. The next prime is 2231113300123. The reversal of 2231113300121 is 1210033111322.

It is a happy number.

2231113300121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2156550990400 + 74562309721 = 1468520^2 + 273061^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231113300121 - 2¹⁰ = 2231113299097 is a prime.

It is a super-3 number, since 3×2231113300121³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 2231113300123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2231113300093 and 2231113300102.

It is not a weakly prime, because it can be changed into another prime (2231113300123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115556650060 + 1115556650061.

It is an arithmetic number, because the mean of its divisors is an integer number (1115556650061).

Almost surely, 2^{2231113300121} is an apocalyptic number.

It is an amenable number.

2231113300121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231113300121 is an equidigital number, since it uses as much as digits as its factorization.

2231113300121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2231113300121 its reverse (1210033111322), we get a palindrome (3441146411443).

The spelling of 2231113300121 in words is "two trillion, two hundred thirty-one billion, one hundred thirteen million, three hundred thousand, one hundred twenty-one".