210221010201000 has 128 divisors (see below), whose sum is σ = 655964858764800. Its totient is φ = 56052499564800.

The previous prime is 210221010200951. The next prime is 210221010201001. The reversal of 210221010201000 is 102010122012.

210221010201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (210221010201001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22138554 + ... + 30175446.

It is an arithmetic number, because the mean of its divisors is an integer number (5124725459100).

Almost surely, 2^{210221010201000} is an apocalyptic number.

210221010201000 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 210221010201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327982429382400).

210221010201000 is an abundant number, since it is smaller than the sum of its proper divisors (445743848563800).

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

210221010201000 is a wasteful number, since it uses less digits than its factorization.

210221010201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8045636 (or 8045622 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210221010201000 its reverse (102010122012), we get a palindrome (210323020323012).

The spelling of 210221010201000 in words is "two hundred ten trillion, two hundred twenty-one billion, ten million, two hundred one thousand".