2112122112011 has 8 divisors (see below), whose sum is σ = 2134962113424. Its totient is φ = 2089303856640.

The previous prime is 2112122111989. The next prime is 2112122112017. The reversal of 2112122112011 is 1102112212112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2112122112011 - 2¹⁸ = 2112121849867 is a prime.

It is a super-2 number, since 2×2112122112011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112122112017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5241170 + ... + 5629751.

It is an arithmetic number, because the mean of its divisors is an integer number (266870264178).

Almost surely, 2^{2112122112011} is an apocalyptic number.

2112122112011 is a deficient number, since it is larger than the sum of its proper divisors (22840001413).

2112122112011 is a wasteful number, since it uses less digits than its factorization.

2112122112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10873021.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2112122112011 its reverse (1102112212112), we get a palindrome (3214234324123).

The spelling of 2112122112011 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twelve thousand, eleven".