10221668180 has 24 divisors (see below), whose sum is σ = 21989053800. Its totient is φ = 3988943360.

The previous prime is 10221668173. The next prime is 10221668189. The reversal of 10221668180 is 8186612201.

It can be written as a sum of positive squares in 4 ways, for example, as 1125468304 + 9096199876 = 33548^2 + 95374^2 .

It is a super-3 number, since 3×10221668180³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10221668180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221668189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6231905 + ... + 6233544.

It is an arithmetic number, because the mean of its divisors is an integer number (916210575).

Almost surely, 2^10221668180 is an apocalyptic number.

10221668180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221668180 is an abundant number, since it is smaller than the sum of its proper divisors (11767385620).

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

10221668180 is a wasteful number, since it uses less digits than its factorization.

10221668180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12465499 (or 12465497 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The spelling of 10221668180 in words is "ten billion, two hundred twenty-one million, six hundred sixty-eight thousand, one hundred eighty".