111001100010000 has 800 divisors, whose sum is σ = 370752180425088. Its totient is φ = 28586649600000.

The previous prime is 111001100009983. The next prime is 111001100010001. The reversal of 111001100010000 is 10001100111.

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 not an unprimeable number, because it can be changed into a prime (111001100010001) 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 159 ways as a sum of consecutive naturals, for example, 151433969634 + ... + 151433970366.

Almost surely, 2^{111001100010000} is an apocalyptic number.

111001100010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111001100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185376090212544).

111001100010000 is an abundant number, since it is smaller than the sum of its proper divisors (259751080415088).

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

111001100010000 is a wasteful number, since it uses less digits than its factorization.

111001100010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1608 counting only the distinct ones).

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

Adding to 111001100010000 its reverse (10001100111), we get a palindrome (111011101110111).

It can be divided in two parts, 111001 and 100010000, that added together give a palindrome (100121001).

The spelling of 111001100010000 in words is "one hundred eleven trillion, one billion, one hundred million, ten thousand".