10111000011 has 48 divisors (see below), whose sum is σ = 15876127008. Its totient is φ = 5706624000.

The previous prime is 10111000007. The next prime is 10111000013. The reversal of 10111000011 is 11000011101.

It is not a de Polignac number, because 10111000011 - 2² = 10111000007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10111000013) 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 47 ways as a sum of consecutive naturals, for example, 11476291 + ... + 11477171.

It is an arithmetic number, because the mean of its divisors is an integer number (330752646).

Almost surely, 2^10111000011 is an apocalyptic number.

10111000011 is a deficient number, since it is larger than the sum of its proper divisors (5765126997).

10111000011 is a wasteful number, since it uses less digits than its factorization.

10111000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10111000011 its reverse (11000011101), we get a palindrome (21111011112).

It can be divided in two parts, 101 and 11000011, that multiplied together give a palindrome (1111001111).

The spelling of 10111000011 in words is "ten billion, one hundred eleven million, eleven", and thus it is an aban number.