10001112318400 has 336 divisors, whose sum is σ = 29107988398080. Its totient is φ = 3309633331200.

The previous prime is 10001112318397. The next prime is 10001112318401. The reversal of 10001112318400 is 481321110001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001112318401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 132939996 + ... + 133015204.

Almost surely, 2^{10001112318400} is an apocalyptic number.

10001112318400 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 10001112318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14553994199040).

10001112318400 is an abundant number, since it is smaller than the sum of its proper divisors (19106876079680).

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

10001112318400 is a wasteful number, since it uses less digits than its factorization.

10001112318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75652 (or 75637 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 10001112318400 its reverse (481321110001), we get a palindrome (10482433428401).

The spelling of 10001112318400 in words is "ten trillion, one billion, one hundred twelve million, three hundred eighteen thousand, four hundred".