210210102010000 has 200 divisors, whose sum is σ = 511187874611480. Its totient is φ = 83713264128000.

The previous prime is 210210102009959. The next prime is 210210102010001. The reversal of 210210102010000 is 10201012012.

It can be written as a sum of positive squares in 20 ways, for example, as 159851719989504 + 50358382020496 = 12643248^2 + 7096364^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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

It is not an unprimeable number, because it can be changed into a prime (210210102010001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2594729494 + ... + 2594810506.

Almost surely, 2^{210210102010000} is an apocalyptic number.

210210102010000 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 210210102010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255593937305740).

210210102010000 is an abundant number, since it is smaller than the sum of its proper divisors (300977772601480).

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

210210102010000 is an equidigital number, since it uses as much as digits as its factorization.

210210102010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82183 (or 82162 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210210102010000 its reverse (10201012012), we get a palindrome (210220303022012).

The spelling of 210210102010000 in words is "two hundred ten trillion, two hundred ten billion, one hundred two million, ten thousand".