200210000202000 has 480 divisors, whose sum is σ = 703099557438720. Its totient is φ = 53096867020800.

The previous prime is 200210000201951. The next prime is 200210000202103. The reversal of 200210000202000 is 202000012002.

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 95 ways as a sum of consecutive naturals, for example, 15865751691 + ... + 15865764309.

It is an arithmetic number, because the mean of its divisors is an integer number (1464790744664).

Almost surely, 2^{200210000202000} is an apocalyptic number.

200210000202000 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 200210000202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351549778719360).

200210000202000 is an abundant number, since it is smaller than the sum of its proper divisors (502889557236720).

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

200210000202000 is a wasteful number, since it uses less digits than its factorization.

200210000202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17408 (or 17389 counting only the distinct ones).

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

Adding to 200210000202000 its reverse (202000012002), we get a palindrome (200412000214002).

The spelling of 200210000202000 in words is "two hundred trillion, two hundred ten billion, two hundred two thousand".