10011110001011 has 48 divisors (see below), whose sum is σ = 12140891136000. Its totient is φ = 8085129950016.

The previous prime is 10011110001007. The next prime is 10011110001031. The reversal of 10011110001011 is 11010001111001.

It is not a de Polignac number, because 10011110001011 - 2² = 10011110001007 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10011110001011.

It is not an unprimeable number, because it can be changed into a prime (10011110001031) 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 47 ways as a sum of consecutive naturals, for example, 568836590 + ... + 568854188.

It is an arithmetic number, because the mean of its divisors is an integer number (252935232000).

Almost surely, 2^{10011110001011} is an apocalyptic number.

10011110001011 is a deficient number, since it is larger than the sum of its proper divisors (2129781134989).

10011110001011 is a wasteful number, since it uses less digits than its factorization.

10011110001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18856 (or 18837 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10011110001011 its reverse (11010001111001), we get a palindrome (21021111112012).

It can be divided in two parts, 100 and 11110001011, that added together give a palindrome (11110001111).

The spelling of 10011110001011 in words is "ten trillion, eleven billion, one hundred ten million, one thousand, eleven".