210113302110000 has 400 divisors, whose sum is σ = 687740377632000. Its totient is φ = 55253619072000.

The previous prime is 210113302109951. The next prime is 210113302110013. The reversal of 210113302110000 is 11203311012.

It is a happy number.

210113302110000 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 (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 621160917 + ... + 621499083.

It is an arithmetic number, because the mean of its divisors is an integer number (1719350944080).

Almost surely, 2^{210113302110000} is an apocalyptic number.

210113302110000 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 210113302110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343870188816000).

210113302110000 is an abundant number, since it is smaller than the sum of its proper divisors (477627075522000).

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

210113302110000 is a wasteful number, since it uses less digits than its factorization.

210113302110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338486 (or 338465 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 210113302110000 its reverse (11203311012), we get a palindrome (210124505421012).

The spelling of 210113302110000 in words is "two hundred ten trillion, one hundred thirteen billion, three hundred two million, one hundred ten thousand".