100027181846881 has 9 divisors (see below), whose sum is σ = 102804065391699. Its totient is φ = 97323384450744.

The previous prime is 100027181846861. The next prime is 100027181847023. The reversal of 100027181846881 is 188648181720001.

It is a happy number.

The square root of 100027181846881 is 10001359.

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

It can be written as a sum of positive squares in only one way, i.e., 89505695955025 + 10521485891856 = 9460745^2 + 3243684^2 .

It is not a de Polignac number, because 100027181846881 - 2¹¹ = 100027181844833 is a prime.

It is a super-2 number, since 2×100027181846881² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100027181846861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 369915130 + ... + 370185436.

It is an arithmetic number, because the mean of its divisors is an integer number (11422673932411).

Almost surely, 2^{100027181846881} is an apocalyptic number.

100027181846881 is the 10001359-th square number.

100027181846881 is the 5000680-th centered octagonal number.

It is an amenable number.

100027181846881 is a deficient number, since it is larger than the sum of its proper divisors (2776883544818).

100027181846881 is an frugal number, since it uses more digits than its factorization.

100027181846881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540688 (or 270344 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 55.

The spelling of 100027181846881 in words is "one hundred trillion, twenty-seven billion, one hundred eighty-one million, eight hundred forty-six thousand, eight hundred eighty-one".