1002002200200 has 192 divisors, whose sum is σ = 3456946152000. Its totient is φ = 266766635520.

The previous prime is 1002002200187. The next prime is 1002002200217. The reversal of 1002002200200 is 20022002001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3181431 + ... + 3482169.

It is an arithmetic number, because the mean of its divisors is an integer number (18004927875).

Almost surely, 2^{1002002200200} is an apocalyptic number.

1002002200200 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 1002002200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728473076000).

1002002200200 is an abundant number, since it is smaller than the sum of its proper divisors (2454943951800).

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

1002002200200 is a wasteful number, since it uses less digits than its factorization.

1002002200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301381 (or 301366 counting only the distinct ones).

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

Adding to 1002002200200 its reverse (20022002001), we get a palindrome (1022024202201).

The spelling of 1002002200200 in words is "one trillion, two billion, two million, two hundred thousand, two hundred".