210121100200 has 192 divisors, whose sum is σ = 546780093120. Its totient is φ = 74447616000.

The previous prime is 210121100183. The next prime is 210121100209. The reversal of 210121100200 is 2001121012.

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

It is not an unprimeable number, because it can be changed into a prime (210121100209) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 14352084 + ... + 14366716.

It is an arithmetic number, because the mean of its divisors is an integer number (2847812985).

Almost surely, 2^210121100200 is an apocalyptic number.

210121100200 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 210121100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273390046560).

210121100200 is an abundant number, since it is smaller than the sum of its proper divisors (336658992920).

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

210121100200 is a wasteful number, since it uses less digits than its factorization.

210121100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14828 (or 14819 counting only the distinct ones).

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

Adding to 210121100200 its reverse (2001121012), we get a palindrome (212122221212).

The spelling of 210121100200 in words is "two hundred ten billion, one hundred twenty-one million, one hundred thousand, two hundred".