200202002000 has 480 divisors, whose sum is σ = 654960913152. Its totient is φ = 57594240000.

The previous prime is 200202001931. The next prime is 200202002017. The reversal of 200202002000 is 200202002.

200202002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 22017455 + ... + 22026545.

Almost surely, 2^200202002000 is an apocalyptic number.

200202002000 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 200202002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327480456576).

200202002000 is an abundant number, since it is smaller than the sum of its proper divisors (454758911152).

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

200202002000 is a wasteful number, since it uses less digits than its factorization.

200202002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9156 (or 9129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 200202002000 its reverse (200202002), we get a palindrome (200402204002).

200202002000 divided by its reverse (200202002) gives a cube (1000 = 10³).

It can be divided in two parts, 20020 and 2002000, that multiplied together give a square (40080040000 = 200200²).

The spelling of 200202002000 in words is "two hundred billion, two hundred two million, two thousand".