200210220021000 has 256 divisors, whose sum is σ = 714788225948160. Its totient is φ = 45704913945600.

The previous prime is 200210220020999. The next prime is 200210220021011. The reversal of 200210220021000 is 120022012002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10755934 + ... + 22718066.

It is an arithmetic number, because the mean of its divisors is an integer number (2792141507610).

Almost surely, 2^{200210220021000} is an apocalyptic number.

200210220021000 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 200210220021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357394112974080).

200210220021000 is an abundant number, since it is smaller than the sum of its proper divisors (514578005927160).

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

200210220021000 is a wasteful number, since it uses less digits than its factorization.

200210220021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11962961 (or 11962947 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200210220021000 its reverse (120022012002), we get a palindrome (200330242033002).

The spelling of 200210220021000 in words is "two hundred trillion, two hundred ten billion, two hundred twenty million, twenty-one thousand".