110010000000080 has 80 divisors (see below), whose sum is σ = 260602614539280. Its totient is φ = 43173163597824.

The previous prime is 110010000000079. The next prime is 110010000000091. The reversal of 110010000000080 is 80000000010011.

It can be written as a sum of positive squares in 8 ways, for example, as 17059345047616 + 92950654952464 = 4130296^2 + 9641092^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 110009999999989 and 110010000000070.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473801456 + ... + 474033584.

It is an arithmetic number, because the mean of its divisors is an integer number (3257532681741).

Almost surely, 2^{110010000000080} is an apocalyptic number.

110010000000080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110010000000080 is an abundant number, since it is smaller than the sum of its proper divisors (150592614539200).

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

110010000000080 is a wasteful number, since it uses less digits than its factorization.

110010000000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343968 (or 343962 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110010000000080 its reverse (80000000010011), we get a palindrome (190010000010091).

The spelling of 110010000000080 in words is "one hundred ten trillion, ten billion, eighty", and thus it is an aban number.