210201200202000 has 640 divisors, whose sum is σ = 789347271398400. Its totient is φ = 47133757440000.

The previous prime is 210201200201983. The next prime is 210201200202013. The reversal of 210201200202000 is 202002102012.

It is a super-2 number, since 2×210201200202000² (a number of 29 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 462150696 + ... + 462605304.

It is an arithmetic number, because the mean of its divisors is an integer number (1233355111560).

Almost surely, 2^{210201200202000} is an apocalyptic number.

210201200202000 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 210201200202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394673635699200).

210201200202000 is an abundant number, since it is smaller than the sum of its proper divisors (579146071196400).

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

210201200202000 is a wasteful number, since it uses less digits than its factorization.

210201200202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454852 (or 454836 counting only the distinct ones).

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

Adding to 210201200202000 its reverse (202002102012), we get a palindrome (210403202304012).

The spelling of 210201200202000 in words is "two hundred ten trillion, two hundred one billion, two hundred million, two hundred two thousand".