10202133200 has 180 divisors, whose sum is σ = 28649466540. Its totient is φ = 3481067520.

The previous prime is 10202133181. The next prime is 10202133209. The reversal of 10202133200 is 233120201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1149752464 + 9052380736 = 33908^2 + 95144^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202133209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4487264 + ... + 4489536.

It is an arithmetic number, because the mean of its divisors is an integer number (159163703).

Almost surely, 2^10202133200 is an apocalyptic number.

10202133200 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 10202133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14324733270).

10202133200 is an abundant number, since it is smaller than the sum of its proper divisors (18447333340).

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

10202133200 is a wasteful number, since it uses less digits than its factorization.

10202133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10202133200 its reverse (233120201), we get a palindrome (10435253401).

The spelling of 10202133200 in words is "ten billion, two hundred two million, one hundred thirty-three thousand, two hundred".