10011000111111 has 16 divisors (see below), whose sum is σ = 14846872324320. Its totient is φ = 6666907602240.

The previous prime is 10011000111083. The next prime is 10011000111137. The reversal of 10011000111111 is 11111100011001.

It is not a de Polignac number, because 10011000111111 - 2¹⁰ = 10011000110087 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10011000111093 and 10011000111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011000111611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196987230 + ... + 197038043.

It is an arithmetic number, because the mean of its divisors is an integer number (927929520270).

Almost surely, 2^{10011000111111} is an apocalyptic number.

10011000111111 is a deficient number, since it is larger than the sum of its proper divisors (4835872213209).

10011000111111 is an equidigital number, since it uses as much as digits as its factorization.

10011000111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394026223 (or 394026217 counting only the distinct ones).

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

Adding to 10011000111111 its reverse (11111100011001), we get a palindrome (21122100122112).

The spelling of 10011000111111 in words is "ten trillion, eleven billion, one hundred eleven thousand, one hundred eleven".