100381143715200 has 2304 divisors, whose sum is σ = 395398942848000. Its totient is φ = 25137237565440.

The previous prime is 100381143715183. The next prime is 100381143715201. The reversal of 100381143715200 is 2517341183001.

100381143715200 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 8 + 1 + 1 + 437 + 15 + 200 = 666.

100381143715200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100381143715200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100381143715201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1270647388761 + ... + 1270647388839.

It is an arithmetic number, because the mean of its divisors is an integer number (171614124500).

Almost surely, 2^{100381143715200} is an apocalyptic number.

100381143715200 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 100381143715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197699471424000).

100381143715200 is an abundant number, since it is smaller than the sum of its proper divisors (295017799132800).

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

100381143715200 is an frugal number, since it uses more digits than its factorization.

100381143715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 100381143715200 its reverse (2517341183001), we get a palindrome (102898484898201).

The spelling of 100381143715200 in words is "one hundred trillion, three hundred eighty-one billion, one hundred forty-three million, seven hundred fifteen thousand, two hundred".