210121112001200 has 480 divisors, whose sum is σ = 551080403596800. Its totient is φ = 76727540736000.

The previous prime is 210121112001191. The next prime is 210121112001209. The reversal of 210121112001200 is 2100211121012.

It is an interprime number because it is at equal distance from previous prime (210121112001191) and next prime (210121112001209).

It is not an unprimeable number, because it can be changed into a prime (210121112001209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13408269365 + ... + 13408285035.

It is an arithmetic number, because the mean of its divisors is an integer number (1148084174160).

Almost surely, 2^{210121112001200} is an apocalyptic number.

210121112001200 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 210121112001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275540201798400).

210121112001200 is an abundant number, since it is smaller than the sum of its proper divisors (340959291595600).

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

210121112001200 is a wasteful number, since it uses less digits than its factorization.

210121112001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16301 (or 16290 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 210121112001200 its reverse (2100211121012), we get a palindrome (212221323122212).

The spelling of 210121112001200 in words is "two hundred ten trillion, one hundred twenty-one billion, one hundred twelve million, one thousand, two hundred".