2112111202011 has 32 divisors (see below), whose sum is σ = 2981959695360. Its totient is φ = 1327589163264.

The previous prime is 2112111201947. The next prime is 2112111202013. The reversal of 2112111202011 is 1102021112112.

It is a happy number.

It is not a de Polignac number, because 2112111202011 - 2⁶ = 2112111201947 is a prime.

It is a super-2 number, since 2×2112111202011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112111202013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1228431 + ... + 2394423.

It is an arithmetic number, because the mean of its divisors is an integer number (93186240480).

Almost surely, 2^{2112111202011} is an apocalyptic number.

2112111202011 is a deficient number, since it is larger than the sum of its proper divisors (869848493349).

2112111202011 is a wasteful number, since it uses less digits than its factorization.

2112111202011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166515.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2112111202011 its reverse (1102021112112), we get a palindrome (3214132314123).

The spelling of 2112111202011 in words is "two trillion, one hundred twelve billion, one hundred eleven million, two hundred two thousand, eleven".