10214333200 has 30 divisors (see below), whose sum is σ = 24539936474. Its totient is φ = 4085733120.

The previous prime is 10214333197. The next prime is 10214333209. The reversal of 10214333200 is 233341201.

It can be written as a sum of positive squares in 3 ways, for example, as 156650256 + 10057682944 = 12516^2 + 100288^2 .

It is not an unprimeable number, because it can be changed into a prime (10214333209) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 12767517 + ... + 12768316.

Almost surely, 2^10214333200 is an apocalyptic number.

10214333200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214333200 is an abundant number, since it is smaller than the sum of its proper divisors (14325603274).

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

10214333200 is a wasteful number, since it uses less digits than its factorization.

10214333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25535851 (or 25535840 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10214333200 its reverse (233341201), we get a palindrome (10447674401).

The spelling of 10214333200 in words is "ten billion, two hundred fourteen million, three hundred thirty-three thousand, two hundred".