210201221021000 has 256 divisors, whose sum is σ = 570009746592000. Its totient is φ = 71749463040000.

The previous prime is 210201221020961. The next prime is 210201221021003. The reversal of 210201221021000 is 120122102012.

210201221021000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (210201221021003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18167480 + ... + 27394520.

It is an arithmetic number, because the mean of its divisors is an integer number (2226600572625).

Almost surely, 2^{210201221021000} is an apocalyptic number.

210201221021000 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 210201221021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285004873296000).

210201221021000 is an abundant number, since it is smaller than the sum of its proper divisors (359808525571000).

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

210201221021000 is a wasteful number, since it uses less digits than its factorization.

210201221021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9227201 (or 9227187 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210201221021000 its reverse (120122102012), we get a palindrome (210321343123012).

The spelling of 210201221021000 in words is "two hundred ten trillion, two hundred one billion, two hundred twenty-one million, twenty-one thousand".