10011111111 has 16 divisors (see below), whose sum is σ = 14832817920. Its totient is φ = 6673380120.

The previous prime is 10011111101. The next prime is 10011111161. The reversal of 10011111111 is 11111111001.

It is not a de Polignac number, because 10011111111 - 2²³ = 10002722503 is a prime.

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

10011111111 is a modest number, since divided by 111111 gives 10011 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10011111093 and 10011111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011111101) 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 15 ways as a sum of consecutive naturals, for example, 485926 + ... + 506108.

It is an arithmetic number, because the mean of its divisors is an integer number (927051120).

Almost surely, 2^10011111111 is an apocalyptic number.

10011111111 is a deficient number, since it is larger than the sum of its proper divisors (4821706809).

10011111111 is a wasteful number, since it uses less digits than its factorization.

10011111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38563 (or 38557 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10011111111 its reverse (11111111001), we get a palindrome (21122222112).

It can be divided in two parts, 1001 and 1111111, that multiplied together give a palindrome (1112222111).

The spelling of 10011111111 in words is "ten billion, eleven million, one hundred eleven thousand, one hundred eleven".