10004002132020 has 192 divisors, whose sum is σ = 30558002872320. Its totient is φ = 2430537288192.

The previous prime is 10004002131989. The next prime is 10004002132031. The reversal of 10004002132020 is 2023120040001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195124909 + ... + 195176171.

It is an arithmetic number, because the mean of its divisors is an integer number (159156264960).

Almost surely, 2^{10004002132020} is an apocalyptic number.

10004002132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004002132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15279001436160).

10004002132020 is an abundant number, since it is smaller than the sum of its proper divisors (20554000740300).

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

10004002132020 is a wasteful number, since it uses less digits than its factorization.

10004002132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54534 (or 54532 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10004002132020 its reverse (2023120040001), we get a palindrome (12027122172021).

The spelling of 10004002132020 in words is "ten trillion, four billion, two million, one hundred thirty-two thousand, twenty".