2011120211161 has 2 divisors, whose sum is σ = 2011120211162. Its totient is φ = 2011120211160.

The previous prime is 2011120211083. The next prime is 2011120211183. The reversal of 2011120211161 is 1611120211102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1998264960000 + 12855251161 = 1413600^2 + 113381^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011120211161 - 2⁷ = 2011120211033 is a prime.

It is a super-3 number, since 3×2011120211161³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2011120218161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005560105580 + 1005560105581.

It is an arithmetic number, because the mean of its divisors is an integer number (1005560105581).

Almost surely, 2^{2011120211161} is an apocalyptic number.

It is an amenable number.

2011120211161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011120211161 is an equidigital number, since it uses as much as digits as its factorization.

2011120211161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 2011120211161 its reverse (1611120211102), we get a palindrome (3622240422263).

The spelling of 2011120211161 in words is "two trillion, eleven billion, one hundred twenty million, two hundred eleven thousand, one hundred sixty-one".