210010210200000 has 1008 divisors, whose sum is σ = 860355328734720. Its totient is φ = 47975950080000.

The previous prime is 210010210199989. The next prime is 210010210200019. The reversal of 210010210200000 is 2012010012.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31537796671 + ... + 31537803329.

It is an arithmetic number, because the mean of its divisors is an integer number (853527111840).

Almost surely, 2^{210010210200000} is an apocalyptic number.

210010210200000 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 210010210200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430177664367360).

210010210200000 is an abundant number, since it is smaller than the sum of its proper divisors (650345118534720).

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

210010210200000 is an equidigital number, since it uses as much as digits as its factorization.

210010210200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9212 (or 9179 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210010210200000 its reverse (2012010012), we get a palindrome (210012222210012).

The spelling of 210010210200000 in words is "two hundred ten trillion, ten billion, two hundred ten million, two hundred thousand".