10213000200 has 288 divisors, whose sum is σ = 37291363200. Its totient is φ = 2489863680.

The previous prime is 10213000181. The next prime is 10213000207. The reversal of 10213000200 is 200031201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10213000207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2501761 + ... + 2505839.

It is an arithmetic number, because the mean of its divisors is an integer number (129483900).

Almost surely, 2^10213000200 is an apocalyptic number.

10213000200 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 10213000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18645681600).

10213000200 is an abundant number, since it is smaller than the sum of its proper divisors (27078363000).

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

10213000200 is a wasteful number, since it uses less digits than its factorization.

10213000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10213000200 its reverse (200031201), we get a palindrome (10413031401).

The spelling of 10213000200 in words is "ten billion, two hundred thirteen million, two hundred", and thus it is an aban number.