210212221121120 has 96 divisors (see below), whose sum is σ = 506322531886752. Its totient is φ = 82445254008832.

The previous prime is 210212221121113. The next prime is 210212221121191. The reversal of 210212221121120 is 21121122212012.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 210212221121092 and 210212221121101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5188379 + ... + 21150501.

It is an arithmetic number, because the mean of its divisors is an integer number (5274193040487).

Almost surely, 2^{210212221121120} is an apocalyptic number.

210212221121120 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 210212221121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253161265943376).

210212221121120 is an abundant number, since it is smaller than the sum of its proper divisors (296110310765632).

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

210212221121120 is a wasteful number, since it uses less digits than its factorization.

210212221121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15963744 (or 15963736 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 210212221121120 its reverse (21121122212012), we get a palindrome (231333343333132).

The spelling of 210212221121120 in words is "two hundred ten trillion, two hundred twelve billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".