2120212011121 has 2 divisors, whose sum is σ = 2120212011122. Its totient is φ = 2120212011120.

The previous prime is 2120212011089. The next prime is 2120212011179. The reversal of 2120212011121 is 1211102120212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1951567090225 + 168644920896 = 1396985^2 + 410664^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120212011121 - 2⁵ = 2120212011089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120212011095 and 2120212011104.

It is not a weakly prime, because it can be changed into another prime (2120212011191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060106005560 + 1060106005561.

It is an arithmetic number, because the mean of its divisors is an integer number (1060106005561).

Almost surely, 2^{2120212011121} is an apocalyptic number.

It is an amenable number.

2120212011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120212011121 is an equidigital number, since it uses as much as digits as its factorization.

2120212011121 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 16.

Adding to 2120212011121 its reverse (1211102120212), we get a palindrome (3331314131333).

The spelling of 2120212011121 in words is "two trillion, one hundred twenty billion, two hundred twelve million, eleven thousand, one hundred twenty-one".