2011111020161 has 2 divisors, whose sum is σ = 2011111020162. Its totient is φ = 2011111020160.

The previous prime is 2011111020091. The next prime is 2011111020181. The reversal of 2011111020161 is 1610201111102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1674873400561 + 336237619600 = 1294169^2 + 579860^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011111020161 - 2²⁶ = 2011043911297 is a prime.

It is not a weakly prime, because it can be changed into another prime (2011111020181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005555510080 + 1005555510081.

It is an arithmetic number, because the mean of its divisors is an integer number (1005555510081).

Almost surely, 2^{2011111020161} is an apocalyptic number.

It is an amenable number.

2011111020161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011111020161 is an equidigital number, since it uses as much as digits as its factorization.

2011111020161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 2011111020161 its reverse (1610201111102), we get a palindrome (3621312131263).

The spelling of 2011111020161 in words is "two trillion, eleven billion, one hundred eleven million, twenty thousand, one hundred sixty-one".