2011012112011 has 24 divisors (see below), whose sum is σ = 2383558167264. Its totient is φ = 1660852356480.

The previous prime is 2011012111939. The next prime is 2011012112033. The reversal of 2011012112011 is 1102112101102.

It is a happy number.

It is not a de Polignac number, because 2011012112011 - 2²⁷ = 2010877894283 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011012111982 and 2011012112000.

It is not an unprimeable number, because it can be changed into a prime (2011012112071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2381791 + ... + 3113671.

It is an arithmetic number, because the mean of its divisors is an integer number (99314923636).

Almost surely, 2^{2011012112011} is an apocalyptic number.

2011012112011 is a deficient number, since it is larger than the sum of its proper divisors (372546055253).

2011012112011 is an equidigital number, since it uses as much as digits as its factorization.

2011012112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732131 (or 732028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2011012112011 its reverse (1102112101102), we get a palindrome (3113124213113).

The spelling of 2011012112011 in words is "two trillion, eleven billion, twelve million, one hundred twelve thousand, eleven".