210200112121200 has 120 divisors (see below), whose sum is σ = 673344862920576. Its totient is φ = 56053043808000.

The previous prime is 210200112121177. The next prime is 210200112121211. The reversal of 210200112121200 is 2121211002012.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210200112121200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272243695 + ... + 273014705.

Almost surely, 2^{210200112121200} is an apocalyptic number.

210200112121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210200112121200 is an abundant number, since it is smaller than the sum of its proper divisors (463144750799376).

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

210200112121200 is a wasteful number, since it uses less digits than its factorization.

210200112121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998223 (or 998212 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210200112121200 its reverse (2121211002012), we get a palindrome (212321323123212).

The spelling of 210200112121200 in words is "two hundred ten trillion, two hundred billion, one hundred twelve million, one hundred twenty-one thousand, two hundred".