110100011110080 has 112 divisors (see below), whose sum is σ = 349574991252480. Its totient is φ = 29359376739328.

The previous prime is 110100011110069. The next prime is 110100011110081. The reversal of 110100011110080 is 80011110001011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (110100011110081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44707057 + ... + 47105423.

It is an arithmetic number, because the mean of its divisors is an integer number (3121205279040).

Almost surely, 2^{110100011110080} is an apocalyptic number.

110100011110080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110100011110080 is an abundant number, since it is smaller than the sum of its proper divisors (239474980142400).

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

110100011110080 is a wasteful number, since it uses less digits than its factorization.

110100011110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446206 (or 2446196 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 110100011110080 its reverse (80011110001011), we get a palindrome (190111121111091).

The spelling of 110100011110080 in words is "one hundred ten trillion, one hundred billion, eleven million, one hundred ten thousand, eighty".