2012112220121 has 2 divisors, whose sum is σ = 2012112220122. Its totient is φ = 2012112220120.

The previous prime is 2012112220117. The next prime is 2012112220123. The reversal of 2012112220121 is 1210222112102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1817613579721 + 194498640400 = 1348189^2 + 441020^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012112220121 - 2² = 2012112220117 is a prime.

Together with 2012112220123, 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 2012112220121.

It is not a weakly prime, because it can be changed into another prime (2012112220123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006056110060 + 1006056110061.

It is an arithmetic number, because the mean of its divisors is an integer number (1006056110061).

Almost surely, 2^{2012112220121} is an apocalyptic number.

It is an amenable number.

2012112220121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012112220121 is an equidigital number, since it uses as much as digits as its factorization.

2012112220121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2012112220121 its reverse (1210222112102), we get a palindrome (3222334332223).

The spelling of 2012112220121 in words is "two trillion, twelve billion, one hundred twelve million, two hundred twenty thousand, one hundred twenty-one".