10011111011 has 64 divisors (see below), whose sum is σ = 12149502336. Its totient is φ = 8146944000.

The previous prime is 10011110971. The next prime is 10011111023. The reversal of 10011111011 is 11011111001.

It is not a de Polignac number, because 10011111011 - 2¹⁰ = 10011109987 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10011111011.

It is not an unprimeable number, because it can be changed into a prime (10011111611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73073735 + ... + 73073871.

It is an arithmetic number, because the mean of its divisors is an integer number (189835974).

Almost surely, 2^10011111011 is an apocalyptic number.

10011111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10011111011 is a deficient number, since it is larger than the sum of its proper divisors (2138391325).

10011111011 is a wasteful number, since it uses less digits than its factorization.

10011111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392.

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

Adding to 10011111011 its reverse (11011111001), we get a palindrome (21022222012).

It can be divided in two parts, 100 and 11111011, that added together give a palindrome (11111111).

The spelling of 10011111011 in words is "ten billion, eleven million, one hundred eleven thousand, eleven".