110010000110000 has 100 divisors (see below), whose sum is σ = 266378100965592. Its totient is φ = 43998566208000.

The previous prime is 110010000109993. The next prime is 110010000110047. The reversal of 110010000110000 is 11000010011.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80794844 + ... + 82145156.

Almost surely, 2^{110010000110000} is an apocalyptic number.

110010000110000 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 110010000110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133189050482796).

110010000110000 is an abundant number, since it is smaller than the sum of its proper divisors (156368100855592).

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

110010000110000 is an equidigital number, since it uses as much as digits as its factorization.

110010000110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358488 (or 1358467 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 110010000110000 its reverse (11000010011), we get a palindrome (110021000120011).

The spelling of 110010000110000 in words is "one hundred ten trillion, ten billion, one hundred ten thousand".