2011222111121 has 2 divisors, whose sum is σ = 2011222111122. Its totient is φ = 2011222111120.

The previous prime is 2011222111103. The next prime is 2011222111123. The reversal of 2011222111121 is 1211112221102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1667620980496 + 343601130625 = 1291364^2 + 586175^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011222111121 - 2⁶ = 2011222111057 is a prime.

Together with 2011222111123, 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 2011222111121.

It is not a weakly prime, because it can be changed into another prime (2011222111123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005611055560 + 1005611055561.

It is an arithmetic number, because the mean of its divisors is an integer number (1005611055561).

Almost surely, 2^{2011222111121} is an apocalyptic number.

It is an amenable number.

2011222111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011222111121 is an equidigital number, since it uses as much as digits as its factorization.

2011222111121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2011222111121 its reverse (1211112221102), we get a palindrome (3222334332223).

The spelling of 2011222111121 in words is "two trillion, eleven billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twenty-one".