2112111778041 has 6 divisors (see below), whose sum is σ = 3050828123850. Its totient is φ = 1408074518688.

The previous prime is 2112111778013. The next prime is 2112111778061. The reversal of 2112111778041 is 1408771112112.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1514228691600 + 597883086441 = 1230540^2 + 773229^2 .

It is not a de Polignac number, because 2112111778041 - 2²⁶ = 2112044669177 is a prime.

It is a super-2 number, since 2×2112111778041² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112111777987 and 2112111778005.

It is not an unprimeable number, because it can be changed into a prime (2112111778001) 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 in 5 ways as a sum of consecutive naturals, for example, 117339543216 + ... + 117339543233.

It is an arithmetic number, because the mean of its divisors is an integer number (508471353975).

Almost surely, 2^{2112111778041} is an apocalyptic number.

It is an amenable number.

2112111778041 is a deficient number, since it is larger than the sum of its proper divisors (938716345809).

2112111778041 is a wasteful number, since it uses less digits than its factorization.

2112111778041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234679086455 (or 234679086452 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 36.

The spelling of 2112111778041 in words is "two trillion, one hundred twelve billion, one hundred eleven million, seven hundred seventy-eight thousand, forty-one".