2011011003 has 32 divisors (see below), whose sum is σ = 3216038400. Its totient is φ = 1238152608.

The previous prime is 2011010987. The next prime is 2011011007. The reversal of 2011011003 is 3001101102.

It is not a de Polignac number, because 2011011003 - 2⁴ = 2011010987 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2011011007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37825 + ... + 73842.

It is an arithmetic number, because the mean of its divisors is an integer number (100501200).

Almost surely, 2^2011011003 is an apocalyptic number.

2011011003 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2011011003 is a deficient number, since it is larger than the sum of its proper divisors (1205027397).

2011011003 is a wasteful number, since it uses less digits than its factorization.

2011011003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111728 (or 111722 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2011011003 is about 44844.2973297609. The cubic root of 2011011003 is about 1262.2289853585.

Adding to 2011011003 its reverse (3001101102), we get a palindrome (5012112105).

Subtracting 2011011003 from its reverse (3001101102), we obtain a palindrome (990090099).

It can be divided in two parts, 20110 and 11003, that added together give a palindrome (31113).

The spelling of 2011011003 in words is "two billion, eleven million, eleven thousand, three".