10210212320 has 432 divisors, whose sum is σ = 31636422720. Its totient is φ = 3101091840.

The previous prime is 10210212317. The next prime is 10210212347. The reversal of 10210212320 is 2321201201.

It is a happy number.

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 = 10210212295 and 10210212304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44585966 + ... + 44586194.

It is an arithmetic number, because the mean of its divisors is an integer number (73232460).

Almost surely, 2^10210212320 is an apocalyptic number.

10210212320 is a gapful number since it is divisible by the number (10) 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 10210212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15818211360).

10210212320 is an abundant number, since it is smaller than the sum of its proper divisors (21426210400).

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

10210212320 is a wasteful number, since it uses less digits than its factorization.

10210212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10210212320 its reverse (2321201201), we get a palindrome (12531413521).

The spelling of 10210212320 in words is "ten billion, two hundred ten million, two hundred twelve thousand, three hundred twenty".