10200202200 has 144 divisors (see below), whose sum is σ = 34436188800. Its totient is φ = 2705721600.

The previous prime is 10200202183. The next prime is 10200202223. The reversal of 10200202200 is 220200201.

It is a super-3 number, since 3×10200202200³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 328966 + ... + 358634.

It is an arithmetic number, because the mean of its divisors is an integer number (239140200).

Almost surely, 2^10200202200 is an apocalyptic number.

10200202200 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 10200202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17218094400).

10200202200 is an abundant number, since it is smaller than the sum of its proper divisors (24235986600).

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

10200202200 is a wasteful number, since it uses less digits than its factorization.

10200202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29882 (or 29870 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10200202200 its reverse (220200201), we get a palindrome (10420402401).

The spelling of 10200202200 in words is "ten billion, two hundred million, two hundred two thousand, two hundred".