210101321320 has 256 divisors, whose sum is σ = 557352576000. Its totient is φ = 70652494080.

The previous prime is 210101321303. The next prime is 210101321323. The reversal of 210101321320 is 23123101012.

210101321320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 210101321294 and 210101321303.

It is not an unprimeable number, because it can be changed into a prime (210101321323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129771471 + ... + 129773089.

It is an arithmetic number, because the mean of its divisors is an integer number (2177158500).

Almost surely, 2^210101321320 is an apocalyptic number.

210101321320 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 210101321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278676288000).

210101321320 is an abundant number, since it is smaller than the sum of its proper divisors (347251254680).

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

210101321320 is a wasteful number, since it uses less digits than its factorization.

210101321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 210101321320 its reverse (23123101012), we get a palindrome (233224422332).

The spelling of 210101321320 in words is "two hundred ten billion, one hundred one million, three hundred twenty-one thousand, three hundred twenty".