2011120011 has 24 divisors (see below), whose sum is σ = 2937814880. Its totient is φ = 1325621376.

The previous prime is 2011120003. The next prime is 2011120049. The reversal of 2011120011 is 1100211102.

It is a happy number.

It is not a de Polignac number, because 2011120011 - 2³ = 2011120003 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011119975 and 2011120002.

It is not an unprimeable number, because it can be changed into a prime (2011120051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 767175 + ... + 769791.

Almost surely, 2^2011120011 is an apocalyptic number.

2011120011 is a deficient number, since it is larger than the sum of its proper divisors (926694869).

2011120011 is a wasteful number, since it uses less digits than its factorization.

2011120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2011120011 is about 44845.5127186656. The cubic root of 2011120011 is about 1262.2517915608.

Adding to 2011120011 its reverse (1100211102), we get a palindrome (3111331113).

The spelling of 2011120011 in words is "two billion, eleven million, one hundred twenty thousand, eleven".