10032402100 has 216 divisors, whose sum is σ = 27745646040. Its totient is φ = 3124961280.

The previous prime is 10032402041. The next prime is 10032402109. The reversal of 10032402100 is 120423001.

It can be written as a sum of positive squares in 12 ways, for example, as 4287368484 + 5745033616 = 65478^2 + 75796^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032402109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2413624 + ... + 2417776.

It is an arithmetic number, because the mean of its divisors is an integer number (128452065).

Almost surely, 2^10032402100 is an apocalyptic number.

10032402100 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 10032402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13872823020).

10032402100 is an abundant number, since it is smaller than the sum of its proper divisors (17713243940).

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

10032402100 is a wasteful number, since it uses less digits than its factorization.

10032402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4213 counting only the distinct ones).

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

Adding to 10032402100 its reverse (120423001), we get a palindrome (10152825101).

The spelling of 10032402100 in words is "ten billion, thirty-two million, four hundred two thousand, one hundred".