210200122000 has 160 divisors (see below), whose sum is σ = 554983228800. Its totient is φ = 76365632000.

The previous prime is 210200121983. The next prime is 210200122031. The reversal of 210200122000 is 221002012.

210200122000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27694206 + ... + 27701794.

It is an arithmetic number, because the mean of its divisors is an integer number (3468645180).

Almost surely, 2^210200122000 is an apocalyptic number.

210200122000 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 210200122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277491614400).

210200122000 is an abundant number, since it is smaller than the sum of its proper divisors (344783106800).

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

210200122000 is a wasteful number, since it uses less digits than its factorization.

210200122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8882 (or 8866 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 210200122000 its reverse (221002012), we get a palindrome (210421124012).

It can be divided in two parts, 21020012 and 2000, that added together give a palindrome (21022012).

The spelling of 210200122000 in words is "two hundred ten billion, two hundred million, one hundred twenty-two thousand".