2121210210200 has 96 divisors (see below), whose sum is σ = 4981052620800. Its totient is φ = 840040871040.

The previous prime is 2121210210181. The next prime is 2121210210221. The reversal of 2121210210200 is 20120121212.

It is a super-3 number, since 3×2121210210200³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12079427 + ... + 12253773.

It is an arithmetic number, because the mean of its divisors is an integer number (51885964800).

Almost surely, 2^{2121210210200} is an apocalyptic number.

2121210210200 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 2121210210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490526310400).

2121210210200 is an abundant number, since it is smaller than the sum of its proper divisors (2859842410600).

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

2121210210200 is a wasteful number, since it uses less digits than its factorization.

2121210210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174969 (or 174960 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2121210210200 its reverse (20120121212), we get a palindrome (2141330331412).

The spelling of 2121210210200 in words is "two trillion, one hundred twenty-one billion, two hundred ten million, two hundred ten thousand, two hundred".