10011111000111 has 64 divisors (see below), whose sum is σ = 16668392832000. Its totient is φ = 5892188303232.

The previous prime is 10011111000109. The next prime is 10011111000119. The reversal of 10011111000111 is 11100011111001.

It is not a de Polignac number, because 10011111000111 - 2¹ = 10011111000109 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 = 10011111000093 and 10011111000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011111000119) 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, 80255956 + ... + 80380598.

It is an arithmetic number, because the mean of its divisors is an integer number (260443638000).

Almost surely, 2^{10011111000111} is an apocalyptic number.

10011111000111 is a deficient number, since it is larger than the sum of its proper divisors (6657281831889).

10011111000111 is a wasteful number, since it uses less digits than its factorization.

10011111000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134637 (or 134631 counting only the distinct ones).

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

Adding to 10011111000111 its reverse (11100011111001), we get a palindrome (21111122111112).

The spelling of 10011111000111 in words is "ten trillion, eleven billion, one hundred eleven million, one hundred eleven", and thus it is an aban number.