110000101010000 has 50 divisors (see below), whose sum is σ = 266321244579522. Its totient is φ = 44000040400000.

The previous prime is 110000101009949. The next prime is 110000101010011. The reversal of 110000101010000 is 10101000011.

It can be written as a sum of positive squares in 5 ways, for example, as 75540712085056 + 34459388924944 = 8691416^2 + 5870212^2 .

It is a tau number, because it is divible by the number of its divisors (50).

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

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 5499995051 + ... + 5500015050.

Almost surely, 2^{110000101010000} is an apocalyptic number.

110000101010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110000101010000 is an abundant number, since it is smaller than the sum of its proper divisors (156321143569522).

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

110000101010000 is an equidigital number, since it uses as much as digits as its factorization.

110000101010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000010129 (or 11000010108 counting only the distinct ones).

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

Adding to 110000101010000 its reverse (10101000011), we get a palindrome (110010202010011).

The spelling of 110000101010000 in words is "one hundred ten trillion, one hundred one million, ten thousand".