10000213200 has 90 divisors (see below), whose sum is σ = 34703530134. Its totient is φ = 2666722560.

The previous prime is 10000213193. The next prime is 10000213211. The reversal of 10000213200 is 231200001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 182574144 + 9817639056 = 13512^2 + 99084^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1385319 + ... + 1392518.

Almost surely, 2^10000213200 is an apocalyptic number.

10000213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000213200 is an abundant number, since it is smaller than the sum of its proper divisors (24703316934).

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

10000213200 is a wasteful number, since it uses less digits than its factorization.

10000213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777861 (or 2777847 counting only the distinct ones).

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

Adding to 10000213200 its reverse (231200001), we get a palindrome (10231413201).

The spelling of 10000213200 in words is "ten billion, two hundred thirteen thousand, two hundred".