2012111111011 has 8 divisors (see below), whose sum is σ = 2082148700400. Its totient is φ = 1942117151520.

The previous prime is 2012111110981. The next prime is 2012111111063. The reversal of 2012111111011 is 1101111112102.

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 2012111111011 - 2⁷ = 2012111110883 is a prime.

It is a super-2 number, since 2×2012111111011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2012111110982 and 2012111111000.

It is not an unprimeable number, because it can be changed into a prime (2012111111081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10813621 + ... + 10998118.

It is an arithmetic number, because the mean of its divisors is an integer number (260268587550).

Almost surely, 2^{2012111111011} is an apocalyptic number.

2012111111011 is a deficient number, since it is larger than the sum of its proper divisors (70037589389).

2012111111011 is a wasteful number, since it uses less digits than its factorization.

2012111111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21814949.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 2012111111011 its reverse (1101111112102), we get a palindrome (3113222223113).

The spelling of 2012111111011 in words is "two trillion, twelve billion, one hundred eleven million, one hundred eleven thousand, eleven".