10002134410020 has 36 divisors (see below), whose sum is σ = 30339807710940. Its totient is φ = 2667235842624.

The previous prime is 10002134410019. The next prime is 10002134410043. The reversal of 10002134410020 is 2001443120001.

10002134410020 is a `hidden beast` number, since 10 + 0 + 0 + 213 + 441 + 0 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4463002706724 + 5539131703296 = 2112582^2 + 2353536^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10002134410020² (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 a junction number, because it is equal to n+sod(n) for n = 10002134409975 and 10002134410002.

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, 27783706515 + ... + 27783706874.

It is an arithmetic number, because the mean of its divisors is an integer number (842772436415).

Almost surely, 2^{10002134410020} is an apocalyptic number.

10002134410020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002134410020 is an abundant number, since it is smaller than the sum of its proper divisors (20337673300920).

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

10002134410020 is a wasteful number, since it uses less digits than its factorization.

10002134410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55567413404 (or 55567413399 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10002134410020 its reverse (2001443120001), we get a palindrome (12003577530021).

The spelling of 10002134410020 in words is "ten trillion, two billion, one hundred thirty-four million, four hundred ten thousand, twenty".