2011101100011 has 12 divisors (see below), whose sum is σ = 2905076652192. Its totient is φ = 1340663524656.

The previous prime is 2011101099991. The next prime is 2011101100027. The reversal of 2011101100011 is 1100011011102.

It is not a de Polignac number, because 2011101100011 - 2¹⁷ = 2011100968939 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2011101099966 and 2011101100002.

It is not an unprimeable number, because it can be changed into a prime (2011101170011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5697651 + ... + 6040316.

It is an arithmetic number, because the mean of its divisors is an integer number (242089721016).

Almost surely, 2^{2011101100011} is an apocalyptic number.

2011101100011 is a deficient number, since it is larger than the sum of its proper divisors (893975552181).

2011101100011 is a wasteful number, since it uses less digits than its factorization.

2011101100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11757010 (or 11757007 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2011101100011 its reverse (1100011011102), we get a palindrome (3111112111113).

It can be divided in two parts, 2011101 and 100011, that added together give a palindrome (2111112).

The spelling of 2011101100011 in words is "two trillion, eleven billion, one hundred one million, one hundred thousand, eleven".