10212243514400 has 36 divisors (see below), whose sum is σ = 24930639481482. Its totient is φ = 4084897405440.

The previous prime is 10212243514399. The next prime is 10212243514463. The reversal of 10212243514400 is 441534221201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4863736230544 + 5348507283856 = 2205388^2 + 2312684^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6382651397 + ... + 6382652996.

Almost surely, 2^{10212243514400} is an apocalyptic number.

10212243514400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212243514400 is an abundant number, since it is smaller than the sum of its proper divisors (14718395967082).

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

10212243514400 is a wasteful number, since it uses less digits than its factorization.

10212243514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12765304413 (or 12765304400 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 10212243514400 its reverse (441534221201), we get a palindrome (10653777735601).

The spelling of 10212243514400 in words is "ten trillion, two hundred twelve billion, two hundred forty-three million, five hundred fourteen thousand, four hundred".