22221221002002 has 72 divisors (see below), whose sum is σ = 53194988629692. Its totient is φ = 6698813552640.

The previous prime is 22221221001989. The next prime is 22221221002007. The reversal of 22221221002002 is 20020012212222.

22221221002002 is a `hidden beast` number, since 22 + 221 + 221 + 0 + 0 + 200 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21111167006721 + 1110053995281 = 4594689^2 + 1053591^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22221221002007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26011203 + ... + 26851910.

Almost surely, 2^{22221221002002} is an apocalyptic number.

22221221002002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22221221002002 is an abundant number, since it is smaller than the sum of its proper divisors (30973767627690).

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

22221221002002 is a wasteful number, since it uses less digits than its factorization.

22221221002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52863336 (or 52863322 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22221221002002 its reverse (20020012212222), we get a palindrome (42241233214224).

The spelling of 22221221002002 in words is "twenty-two trillion, two hundred twenty-one billion, two hundred twenty-one million, two thousand, two".