10212003200 has 192 divisors, whose sum is σ = 29323123200. Its totient is φ = 3441469440.

The previous prime is 10212003181. The next prime is 10212003223. The reversal of 10212003200 is 230021201.

It is a happy number.

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, 1317737 + ... + 1325463.

It is an arithmetic number, because the mean of its divisors is an integer number (152724600).

Almost surely, 2^10212003200 is an apocalyptic number.

10212003200 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 10212003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14661561600).

10212003200 is an abundant number, since it is smaller than the sum of its proper divisors (19111120000).

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

10212003200 is an equidigital number, since it uses as much as digits as its factorization.

10212003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7817 (or 7800 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10212003200 its reverse (230021201), we get a palindrome (10442024401).

The spelling of 10212003200 in words is "ten billion, two hundred twelve million, three thousand, two hundred".