2112100111081 has 2 divisors, whose sum is σ = 2112100111082. Its totient is φ = 2112100111080.

The previous prime is 2112100111073. The next prime is 2112100111097. The reversal of 2112100111081 is 1801110012112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1842578197056 + 269521914025 = 1357416^2 + 519155^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112100111081 - 2³ = 2112100111073 is a prime.

It is a super-3 number, since 3×2112100111081³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2112100151081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056050055540 + 1056050055541.

It is an arithmetic number, because the mean of its divisors is an integer number (1056050055541).

Almost surely, 2^{2112100111081} is an apocalyptic number.

It is an amenable number.

2112100111081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112100111081 is an equidigital number, since it uses as much as digits as its factorization.

2112100111081 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 19.

Adding to 2112100111081 its reverse (1801110012112), we get a palindrome (3913210123193).

The spelling of 2112100111081 in words is "two trillion, one hundred twelve billion, one hundred million, one hundred eleven thousand, eighty-one".