10004430220002 has 24 divisors (see below), whose sum is σ = 22262110491036. Its totient is φ = 3244680071136.

The previous prime is 10004430219961. The next prime is 10004430220013. The reversal of 10004430220002 is 20002203440001.

10004430220002 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 443 + 0 + 220 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9627374045601 + 377056174401 = 3102801^2 + 614049^2 .

It is a super-2 number, since 2×10004430220002² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7510832833 + ... + 7510834164.

Almost surely, 2^{10004430220002} is an apocalyptic number.

10004430220002 is an abundant number, since it is smaller than the sum of its proper divisors (12257680271034).

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

10004430220002 is a wasteful number, since it uses less digits than its factorization.

10004430220002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15021667042 (or 15021667039 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10004430220002 its reverse (20002203440001), we get a palindrome (30006633660003).

The spelling of 10004430220002 in words is "ten trillion, four billion, four hundred thirty million, two hundred twenty thousand, two".