10032322130100 has 288 divisors, whose sum is σ = 33659623146240. Its totient is φ = 2558566010880.

The previous prime is 10032322130057. The next prime is 10032322130179. The reversal of 10032322130100 is 103122323001.

10032322130100 is a `hidden beast` number, since 10 + 0 + 32 + 322 + 1 + 301 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 752210632 + ... + 752223968.

It is an arithmetic number, because the mean of its divisors is an integer number (116873691480).

Almost surely, 2^{10032322130100} is an apocalyptic number.

10032322130100 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 10032322130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16829811573120).

10032322130100 is an abundant number, since it is smaller than the sum of its proper divisors (23627301016140).

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

10032322130100 is a wasteful number, since it uses less digits than its factorization.

10032322130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25496 (or 25483 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10032322130100 its reverse (103122323001), we get a palindrome (10135444453101).

The spelling of 10032322130100 in words is "ten trillion, thirty-two billion, three hundred twenty-two million, one hundred thirty thousand, one hundred".