210011121320 has 256 divisors, whose sum is σ = 640381593600. Its totient is φ = 59856860160.

The previous prime is 210011121293. The next prime is 210011121343. The reversal of 210011121320 is 23121110012.

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 = 210011121295 and 210011121304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4259771 + ... + 4308789.

It is an arithmetic number, because the mean of its divisors is an integer number (2501490600).

Almost surely, 2^210011121320 is an apocalyptic number.

210011121320 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 210011121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320190796800).

210011121320 is an abundant number, since it is smaller than the sum of its proper divisors (430370472280).

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

210011121320 is a wasteful number, since it uses less digits than its factorization.

210011121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49168 (or 49164 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 210011121320 its reverse (23121110012), we get a palindrome (233132231332).

The spelling of 210011121320 in words is "two hundred ten billion, eleven million, one hundred twenty-one thousand, three hundred twenty".