210133221001000 has 256 divisors, whose sum is σ = 544055616000000. Its totient is φ = 75323708320000.

The previous prime is 210133221000991. The next prime is 210133221001063. The reversal of 210133221001000 is 100122331012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5856701061 + ... + 5856736939.

It is an arithmetic number, because the mean of its divisors is an integer number (2125217250000).

Almost surely, 2^{210133221001000} is an apocalyptic number.

210133221001000 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 210133221001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272027808000000).

210133221001000 is an abundant number, since it is smaller than the sum of its proper divisors (333922394999000).

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

210133221001000 is a wasteful number, since it uses less digits than its factorization.

210133221001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43481 (or 43467 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 210133221001000 its reverse (100122331012), we get a palindrome (210233343332012).

The spelling of 210133221001000 in words is "two hundred ten trillion, one hundred thirty-three billion, two hundred twenty-one million, one thousand".