2011110102003 has 32 divisors (see below), whose sum is σ = 2799091722240. Its totient is φ = 1282777413120.

The previous prime is 2011110101971. The next prime is 2011110102011. The reversal of 2011110102003 is 3002010111102.

It is not a de Polignac number, because 2011110102003 - 2⁵ = 2011110101971 is a prime.

It is a super-2 number, since 2×2011110102003² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2011110102003.

It is not an unprimeable number, because it can be changed into a prime (2011110102803) 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, 52311198 + ... + 52349628.

It is an arithmetic number, because the mean of its divisors is an integer number (87471616320).

Almost surely, 2^{2011110102003} is an apocalyptic number.

2011110102003 is a deficient number, since it is larger than the sum of its proper divisors (787981620237).

2011110102003 is a wasteful number, since it uses less digits than its factorization.

2011110102003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43899.

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

Adding to 2011110102003 its reverse (3002010111102), we get a palindrome (5013120213105).

Subtracting 2011110102003 from its reverse (3002010111102), we obtain a palindrome (990900009099).

The spelling of 2011110102003 in words is "two trillion, eleven billion, one hundred ten million, one hundred two thousand, three".