30032100010000 has 200 divisors, whose sum is σ = 79579245914784. Its totient is φ = 10885178880000.

The previous prime is 30032100009991. The next prime is 30032100010067. The reversal of 30032100010000 is 1000123003.

30032100010000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33325344 + ... + 34214656.

Almost surely, 2^{30032100010000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30032100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39789622957392).

30032100010000 is an abundant number, since it is smaller than the sum of its proper divisors (49547145904784).

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

30032100010000 is a wasteful number, since it uses less digits than its factorization.

30032100010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889659 (or 889638 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 30032100010000 its reverse (1000123003), we get a palindrome (30033100133003).

The spelling of 30032100010000 in words is "thirty trillion, thirty-two billion, one hundred million, ten thousand".