210200022120 has 128 divisors (see below), whose sum is σ = 689089991040. Its totient is φ = 50871459840.

The previous prime is 210200022103. The next prime is 210200022139. The reversal of 210200022120 is 21220002012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210200022096 and 210200022105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648492 + ... + 917028.

It is an arithmetic number, because the mean of its divisors is an integer number (5383515555).

Almost surely, 2^210200022120 is an apocalyptic number.

210200022120 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 210200022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344544995520).

210200022120 is an abundant number, since it is smaller than the sum of its proper divisors (478889968920).

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

210200022120 is a wasteful number, since it uses less digits than its factorization.

210200022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269155 (or 269151 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210200022120 its reverse (21220002012), we get a palindrome (231420024132).

The spelling of 210200022120 in words is "two hundred ten billion, two hundred million, twenty-two thousand, one hundred twenty".