10210303200 has 144 divisors (see below), whose sum is σ = 33421610880. Its totient is φ = 2707422720.

The previous prime is 10210303193. The next prime is 10210303223. The reversal of 10210303200 is 230301201.

It is a happy number.

It is a super-3 number, since 3×10210303200³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417717 + ... + 441483.

It is an arithmetic number, because the mean of its divisors is an integer number (232094520).

Almost surely, 2^10210303200 is an apocalyptic number.

10210303200 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 10210303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16710805440).

10210303200 is an abundant number, since it is smaller than the sum of its proper divisors (23211307680).

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

10210303200 is a wasteful number, since it uses less digits than its factorization.

10210303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23969 (or 23956 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10210303200 its reverse (230301201), we get a palindrome (10440604401).

The spelling of 10210303200 in words is "ten billion, two hundred ten million, three hundred three thousand, two hundred".