200102002200 has 288 divisors, whose sum is σ = 679528895760. Its totient is φ = 52766438400.

The previous prime is 200102002171. The next prime is 200102002211. The reversal of 200102002200 is 2200201002.

It is a super-2 number, since 2×200102002200² (a number of 23 digits) contains 22 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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74747262 + ... + 74749938.

Almost surely, 2^200102002200 is an apocalyptic number.

200102002200 is a gapful number since it is divisible by the number (20) 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 200102002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339764447880).

200102002200 is an abundant number, since it is smaller than the sum of its proper divisors (479426893560).

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

200102002200 is a wasteful number, since it uses less digits than its factorization.

200102002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3135 counting only the distinct ones).

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

Adding to 200102002200 its reverse (2200201002), we get a palindrome (202302203202).

The spelling of 200102002200 in words is "two hundred billion, one hundred two million, two thousand, two hundred".