10001200310032 has 120 divisors (see below), whose sum is σ = 20312191186560. Its totient is φ = 4764707055360.

The previous prime is 10001200310011. The next prime is 10001200310033. The reversal of 10001200310032 is 23001300210001.

10001200310032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10001200309994 and 10001200310021.

It is not an unprimeable number, because it can be changed into a prime (10001200310033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1439639583 + ... + 1439646529.

It is an arithmetic number, because the mean of its divisors is an integer number (169268259888).

Almost surely, 2^{10001200310032} 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 10001200310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10156095593280).

10001200310032 is an abundant number, since it is smaller than the sum of its proper divisors (10310990876528).

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

10001200310032 is a wasteful number, since it uses less digits than its factorization.

10001200310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7469 (or 7356 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10001200310032 its reverse (23001300210001), we get a palindrome (33002500520033).

The spelling of 10001200310032 in words is "ten trillion, one billion, two hundred million, three hundred ten thousand, thirty-two".