110088128459521 has 9 divisors (see below), whose sum is σ = 110173486381833. Its totient is φ = 110002836642240.

The previous prime is 110088128459501. The next prime is 110088128459539. The reversal of 110088128459521 is 125954821880011.

The square root of 110088128459521 is 10492289.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 91536845765121 + 18551282694400 = 9567489^2 + 4307120^2 .

It is not a de Polignac number, because 110088128459521 - 2⁵ = 110088128459489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110088128459501) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 16882089741 + ... + 16882096261.

Almost surely, 2^{110088128459521} is an apocalyptic number.

110088128459521 is the 10492289-th square number.

110088128459521 is the 5246145-th centered octagonal number.

It is an amenable number.

110088128459521 is a deficient number, since it is larger than the sum of its proper divisors (85357922312).

110088128459521 is an frugal number, since it uses more digits than its factorization.

110088128459521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16260 (or 8130 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 55.

The spelling of 110088128459521 in words is "one hundred ten trillion, eighty-eight billion, one hundred twenty-eight million, four hundred fifty-nine thousand, five hundred twenty-one".