100241413272 has 1008 divisors, whose sum is σ = 389774992320. Its totient is φ = 23926129920.

The previous prime is 100241413213. The next prime is 100241413301. The reversal of 100241413272 is 272314142001.

100241413272 is a `hidden beast` number, since 1 + 0 + 0 + 241 + 413 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 449512953 + ... + 449513175.

It is an arithmetic number, because the mean of its divisors is an integer number (386681540).

Almost surely, 2^100241413272 is an apocalyptic number.

100241413272 is a gapful number since it is divisible by the number (12) 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 100241413272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194887496160).

100241413272 is an abundant number, since it is smaller than the sum of its proper divisors (289533579048).

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

100241413272 is a wasteful number, since it uses less digits than its factorization.

100241413272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 100241413272 its reverse (272314142001), we get a palindrome (372555555273).

The spelling of 100241413272 in words is "one hundred billion, two hundred forty-one million, four hundred thirteen thousand, two hundred seventy-two".