200202200100000 has 2880 divisors, whose sum is σ = 896407426252800. Its totient is φ = 42810612480000.

The previous prime is 200202200099959. The next prime is 200202200100121. The reversal of 200202200100000 is 1002202002.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 479 ways as a sum of consecutive naturals, for example, 89415898881 + ... + 89415901119.

It is an arithmetic number, because the mean of its divisors is an integer number (311252578560).

Almost surely, 2^{200202200100000} is an apocalyptic number.

200202200100000 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 200202200100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448203713126400).

200202200100000 is an abundant number, since it is smaller than the sum of its proper divisors (696205226152800).

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

200202200100000 is an equidigital number, since it uses as much as digits as its factorization.

200202200100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2358 counting only the distinct ones).

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

Adding to 200202200100000 its reverse (1002202002), we get a palindrome (200203202302002).

The spelling of 200202200100000 in words is "two hundred trillion, two hundred two billion, two hundred million, one hundred thousand".