10002134410032 has 20 divisors (see below), whose sum is σ = 25838847226040. Its totient is φ = 3334044803328.

The previous prime is 10002134410019. The next prime is 10002134410043. The reversal of 10002134410032 is 23001443120001.

It is a junction number, because it is equal to n+sod(n) for n = 10002134409990 and 10002134410008.

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 3 ways as a sum of consecutive naturals, for example, 104188900057 + ... + 104188900152.

It is an arithmetic number, because the mean of its divisors is an integer number (1291942361302).

Almost surely, 2^{10002134410032} is an apocalyptic number.

10002134410032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10002134410032 is an abundant number, since it is smaller than the sum of its proper divisors (15836712816008).

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

10002134410032 is a wasteful number, since it uses less digits than its factorization.

10002134410032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208377800220 (or 208377800214 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10002134410032 its reverse (23001443120001), we get a palindrome (33003577530033).

The spelling of 10002134410032 in words is "ten trillion, two billion, one hundred thirty-four million, four hundred ten thousand, thirty-two".