10818288121 has 9 divisors (see below), whose sum is σ = 11058358831. Its totient is φ = 10583327272.

The previous prime is 10818288097. The next prime is 10818288133. The reversal of 10818288121 is 12188281801.

The square root of 10818288121 is 104011.

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., 10740213225 + 78074896 = 103635^2 + 8836^2 .

It is not a de Polignac number, because 10818288121 - 2⁷ = 10818287993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10818288161) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 4887411 + ... + 4889623.

Almost surely, 2^10818288121 is an apocalyptic number.

10818288121 is the 104011-st square number.

10818288121 is the 52006-th centered octagonal number.

It is an amenable number.

10818288121 is a deficient number, since it is larger than the sum of its proper divisors (240070710).

10818288121 is an frugal number, since it uses more digits than its factorization.

10818288121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 40.

Multiplying 10818288121 by its product of nonzero digits (16384), we get a square (177246832574464 = 13313408²).

The spelling of 10818288121 in words is "ten billion, eight hundred eighteen million, two hundred eighty-eight thousand, one hundred twenty-one".