10004412400021 has 6 divisors (see below), whose sum is σ = 10833180291330. Its totient is φ = 9234842215248.

The previous prime is 10004412399991. The next prime is 10004412400043. The reversal of 10004412400021 is 12000421440001.

It can be written as a sum of positive squares in 3 ways, for example, as 10057281796 + 9994355118225 = 100286^2 + 3161385^2 .

It is not a de Polignac number, because 10004412400021 - 2¹³ = 10004412391829 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004418400021) 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 5 ways as a sum of consecutive naturals, for example, 29598853086 + ... + 29598853423.

It is an arithmetic number, because the mean of its divisors is an integer number (1805530048555).

Almost surely, 2^{10004412400021} is an apocalyptic number.

It is an amenable number.

10004412400021 is a deficient number, since it is larger than the sum of its proper divisors (828767891309).

10004412400021 is an equidigital number, since it uses as much as digits as its factorization.

10004412400021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59197706535 (or 59197706522 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10004412400021 its reverse (12000421440001), we get a palindrome (22004833840022).

The spelling of 10004412400021 in words is "ten trillion, four billion, four hundred twelve million, four hundred thousand, twenty-one".