10032042100 has 36 divisors (see below), whose sum is σ = 21773956204. Its totient is φ = 4012001280.

The previous prime is 10032042079. The next prime is 10032042103. The reversal of 10032042100 is 124023001.

10032042100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3203333604 + 6828708496 = 56598^2 + 82636^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032042103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 823252 + ... + 835348.

Almost surely, 2^10032042100 is an apocalyptic number.

10032042100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032042100 is an abundant number, since it is smaller than the sum of its proper divisors (11741914104).

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

10032042100 is a wasteful number, since it uses less digits than its factorization.

10032042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20404 (or 20397 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10032042100 its reverse (124023001), we get a palindrome (10156065101).

The spelling of 10032042100 in words is "ten billion, thirty-two million, forty-two thousand, one hundred".