210000210112000 has 640 divisors, whose sum is σ = 691264496812032. Its totient is φ = 61604315136000.

The previous prime is 210000210111973. The next prime is 210000210112057. The reversal of 210000210112000 is 211012000012.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82522657 + ... + 85029343.

Almost surely, 2^{210000210112000} is an apocalyptic number.

210000210112000 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 210000210112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345632248406016).

210000210112000 is an abundant number, since it is smaller than the sum of its proper divisors (481264286700032).

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

210000210112000 is a wasteful number, since it uses less digits than its factorization.

210000210112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506755 (or 2506729 counting only the distinct ones).

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

Adding to 210000210112000 its reverse (211012000012), we get a palindrome (210211222112012).

The spelling of 210000210112000 in words is "two hundred ten trillion, two hundred ten million, one hundred twelve thousand".