10011000111000 has 128 divisors (see below), whose sum is σ = 35696366184960. Its totient is φ = 2288228592000.

The previous prime is 10011000110963. The next prime is 10011000111001. The reversal of 10011000111000 is 11100011001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10011000111000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011000111001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238336146 + ... + 238378145.

It is an arithmetic number, because the mean of its divisors is an integer number (278877860820).

Almost surely, 2^{10011000111000} is an apocalyptic number.

10011000111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011000111000 is an abundant number, since it is smaller than the sum of its proper divisors (25685366073960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10011000111000 is a wasteful number, since it uses less digits than its factorization.

10011000111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476714322 (or 476714308 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10011000111000 its reverse (11100011001), we get a palindrome (10022100122001).

Subtracting from 10011000111000 its reverse (11100011001), we obtain a palindrome (9999900099999).

It can be divided in two parts, 100110001 and 11000, that added together give a palindrome (100121001).

The spelling of 10011000111000 in words is "ten trillion, eleven billion, one hundred eleven thousand".