2011100112011 has 16 divisors (see below), whose sum is σ = 2033806121760. Its totient is φ = 1988533774080.

The previous prime is 2011100111983. The next prime is 2011100112017. The reversal of 2011100112011 is 1102110011102.

It is a cyclic number.

It is not a de Polignac number, because 2011100112011 - 2¹⁸ = 2011099849867 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011100111983 and 2011100112001.

It is not an unprimeable number, because it can be changed into a prime (2011100112017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51230351 + ... + 51269591.

It is an arithmetic number, because the mean of its divisors is an integer number (127112882610).

Almost surely, 2^{2011100112011} is an apocalyptic number.

2011100112011 is a deficient number, since it is larger than the sum of its proper divisors (22706009749).

2011100112011 is a wasteful number, since it uses less digits than its factorization.

2011100112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41006.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2011100112011 its reverse (1102110011102), we get a palindrome (3113210123113).

The spelling of 2011100112011 in words is "two trillion, eleven billion, one hundred million, one hundred twelve thousand, eleven".