2232211111121 has 2 divisors, whose sum is σ = 2232211111122. Its totient is φ = 2232211111120.

The previous prime is 2232211111103. The next prime is 2232211111187. The reversal of 2232211111121 is 1211111122322.

2232211111121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2077746390721 + 154464720400 = 1441439^2 + 393020^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2232211111121 is a prime.

It is a super-3 number, since 3×2232211111121³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2232211111093 and 2232211111102.

It is not a weakly prime, because it can be changed into another prime (2232211117121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116105555560 + 1116105555561.

It is an arithmetic number, because the mean of its divisors is an integer number (1116105555561).

Almost surely, 2^{2232211111121} is an apocalyptic number.

It is an amenable number.

2232211111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232211111121 is an equidigital number, since it uses as much as digits as its factorization.

2232211111121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 96, while the sum is 20.

Adding to 2232211111121 its reverse (1211111122322), we get a palindrome (3443322233443).

The spelling of 2232211111121 in words is "two trillion, two hundred thirty-two billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty-one".