210010201020000 has 360 divisors, whose sum is σ = 754666995602520. Its totient is φ = 55373472000000.

The previous prime is 210010201019987. The next prime is 210010201020029. The reversal of 210010201020000 is 20102010012.

210010201020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9465375 + ... + 22574625.

It is an arithmetic number, because the mean of its divisors is an integer number (2096297210007).

Almost surely, 2^{210010201020000} is an apocalyptic number.

210010201020000 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 210010201020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377333497801260).

210010201020000 is an abundant number, since it is smaller than the sum of its proper divisors (544656794582520).

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

210010201020000 is a wasteful number, since it uses less digits than its factorization.

210010201020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13109376 (or 13109350 counting only the distinct ones).

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

Adding to 210010201020000 its reverse (20102010012), we get a palindrome (210030303030012).

The spelling of 210010201020000 in words is "two hundred ten trillion, ten billion, two hundred one million, twenty thousand".