210221011121200 has 120 divisors (see below), whose sum is σ = 507414462010016. Its totient is φ = 83696094720000.

The previous prime is 210221011121137. The next prime is 210221011121273. The reversal of 210221011121200 is 2121110122012.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 185777125 + ... + 186905275.

Almost surely, 2^{210221011121200} is an apocalyptic number.

210221011121200 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 210221011121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253707231005008).

210221011121200 is an abundant number, since it is smaller than the sum of its proper divisors (297193450888816).

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

210221011121200 is a wasteful number, since it uses less digits than its factorization.

210221011121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130343 (or 1130332 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 210221011121200 its reverse (2121110122012), we get a palindrome (212342121243212).

The spelling of 210221011121200 in words is "two hundred ten trillion, two hundred twenty-one billion, eleven million, one hundred twenty-one thousand, two hundred".