10032030100000 has 144 divisors (see below), whose sum is σ = 24691615151112. Its totient is φ = 4012000000000.

The previous prime is 10032030099901. The next prime is 10032030100109. The reversal of 10032030100000 is 103023001.

It can be written as a sum of positive squares in 12 ways, for example, as 6903504012304 + 3128526087696 = 2627452^2 + 1768764^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 10032030100000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 850094100 + ... + 850105900.

Almost surely, 2^{10032030100000} is an apocalyptic number.

10032030100000 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 10032030100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12345807575556).

10032030100000 is an abundant number, since it is smaller than the sum of its proper divisors (14659585051112).

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

10032030100000 is an frugal number, since it uses more digits than its factorization.

10032030100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20337 (or 20309 counting only the distinct ones).

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

Adding to 10032030100000 its reverse (103023001), we get a palindrome (10032133123001).

The spelling of 10032030100000 in words is "ten trillion, thirty-two billion, thirty million, one hundred thousand".