10204103213200 has 120 divisors (see below), whose sum is σ = 26405184788136. Its totient is φ = 3767093760000.

The previous prime is 10204103213159. The next prime is 10204103213209. The reversal of 10204103213200 is 231230140201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 7814395339776 + 2389707873424 = 2795424^2 + 1545868^2 .

It is not an unprimeable number, because it can be changed into a prime (10204103213209) 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 23 ways as a sum of consecutive naturals, for example, 34698780 + ... + 34991620.

Almost surely, 2^{10204103213200} is an apocalyptic number.

10204103213200 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 10204103213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13202592394068).

10204103213200 is an abundant number, since it is smaller than the sum of its proper divisors (16201081574936).

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

10204103213200 is a wasteful number, since it uses less digits than its factorization.

10204103213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299573 (or 299562 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10204103213200 its reverse (231230140201), we get a palindrome (10435333353401).

The spelling of 10204103213200 in words is "ten trillion, two hundred four billion, one hundred three million, two hundred thirteen thousand, two hundred".