200202110002000 has 480 divisors, whose sum is σ = 541686924309024. Its totient is φ = 71307601920000.

The previous prime is 200202110001991. The next prime is 200202110002003. The reversal of 200202110002000 is 200011202002.

It can be written as a sum of positive squares in 16 ways, for example, as 181189475320896 + 19012634681104 = 13460664^2 + 4360348^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200202110002003) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 9487791450 + ... + 9487812550.

Almost surely, 2^{200202110002000} is an apocalyptic number.

200202110002000 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 200202110002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270843462154512).

200202110002000 is an abundant number, since it is smaller than the sum of its proper divisors (341484814307024).

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

200202110002000 is a wasteful number, since it uses less digits than its factorization.

200202110002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21952 (or 21917 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200202110002000 its reverse (200011202002), we get a palindrome (200402121204002).

The spelling of 200202110002000 in words is "two hundred trillion, two hundred two billion, one hundred ten million, two thousand".