100812113740800 has 7128 divisors, whose sum is σ = 505639838104128. Its totient is φ = 19471004467200.

The previous prime is 100812113740757. The next prime is 100812113740813. The reversal of 100812113740800 is 8047311218001.

100812113740800 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 1 + 211 + 37 + 408 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 647 ways as a sum of consecutive naturals, for example, 1902115353574 + ... + 1902115353626.

Almost surely, 2^{100812113740800} is an apocalyptic number.

100812113740800 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 100812113740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252819919052064).

100812113740800 is an abundant number, since it is smaller than the sum of its proper divisors (404827724363328).

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

100812113740800 is a wasteful number, since it uses less digits than its factorization.

100812113740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

Adding to 100812113740800 its reverse (8047311218001), we get a palindrome (108859424958801).

The spelling of 100812113740800 in words is "one hundred trillion, eight hundred twelve billion, one hundred thirteen million, seven hundred forty thousand, eight hundred".