2011006011 has 24 divisors (see below), whose sum is σ = 3143700480. Its totient is φ = 1140087312.

The previous prime is 2011005979. The next prime is 2011006013. The reversal of 2011006011 is 1106001102.

It is a happy number.

It is not a de Polignac number, because 2011006011 - 2⁵ = 2011005979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2011006013) 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, 35191 + ... + 72528.

It is an arithmetic number, because the mean of its divisors is an integer number (130987520).

Almost surely, 2^2011006011 is an apocalyptic number.

2011006011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2011006011 is a deficient number, since it is larger than the sum of its proper divisors (1132694469).

2011006011 is a wasteful number, since it uses less digits than its factorization.

2011006011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107863 (or 107856 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 2011006011 is about 44844.2416704754. The cubic root of 2011006011 is about 1262.2279409332.

Adding to 2011006011 its reverse (1106001102), we get a palindrome (3117007113).

The spelling of 2011006011 in words is "two billion, eleven million, six thousand, eleven".