210221200001120 has 384 divisors, whose sum is σ = 625995973693440. Its totient is φ = 64806005790720.

The previous prime is 210221200001101. The next prime is 210221200001129. The reversal of 210221200001120 is 21100002122012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 210221200001095 and 210221200001104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210221200001129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 815861747 + ... + 816119373.

It is an arithmetic number, because the mean of its divisors is an integer number (1630197848160).

Almost surely, 2^{210221200001120} is an apocalyptic number.

210221200001120 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 210221200001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312997986846720).

210221200001120 is an abundant number, since it is smaller than the sum of its proper divisors (415774773692320).

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

210221200001120 is a wasteful number, since it uses less digits than its factorization.

210221200001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258386 (or 258378 counting only the distinct ones).

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

Adding to 210221200001120 its reverse (21100002122012), we get a palindrome (231321202123132).

The spelling of 210221200001120 in words is "two hundred ten trillion, two hundred twenty-one billion, two hundred million, one thousand, one hundred twenty".