210201022000 has 160 divisors (see below), whose sum is σ = 539238682944. Its totient is φ = 78976512000.

The previous prime is 210201021959. The next prime is 210201022013. The reversal of 210201022000 is 220102012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17776090 + ... + 17787910.

Almost surely, 2^210201022000 is an apocalyptic number.

210201022000 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 210201022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269619341472).

210201022000 is an abundant number, since it is smaller than the sum of its proper divisors (329037660944).

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

210201022000 is a wasteful number, since it uses less digits than its factorization.

210201022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12384 (or 12368 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 210201022000 its reverse (220102012), we get a palindrome (210421124012).

The spelling of 210201022000 in words is "two hundred ten billion, two hundred one million, twenty-two thousand".