2011000112161 has 2 divisors, whose sum is σ = 2011000112162. Its totient is φ = 2011000112160.

The previous prime is 2011000112159. The next prime is 2011000112189. The reversal of 2011000112161 is 1612110001102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1918169600400 + 92830511761 = 1384980^2 + 304681^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011000112161 - 2¹ = 2011000112159 is a prime.

It is a super-2 number, since 2×2011000112161² (a number of 25 digits) contains 22 as substring.

Together with 2011000112159, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2011000112761) 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, 1005500056080 + 1005500056081.

It is an arithmetic number, because the mean of its divisors is an integer number (1005500056081).

Almost surely, 2^{2011000112161} is an apocalyptic number.

It is an amenable number.

2011000112161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011000112161 is an equidigital number, since it uses as much as digits as its factorization.

2011000112161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 2011000112161 its reverse (1612110001102), we get a palindrome (3623110113263).

The spelling of 2011000112161 in words is "two trillion, eleven billion, one hundred twelve thousand, one hundred sixty-one".