100113251472 has 240 divisors, whose sum is σ = 318108056448. Its totient is φ = 29159792640.

The previous prime is 100113251467. The next prime is 100113251477. The reversal of 100113251472 is 274152311001.

100113251472 is a `hidden beast` number, since 10 + 0 + 1 + 132 + 51 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (100113251467) and next prime (100113251477).

It is not an unprimeable number, because it can be changed into a prime (100113251477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4164447 + ... + 4188417.

Almost surely, 2^100113251472 is an apocalyptic number.

100113251472 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 100113251472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159054028224).

100113251472 is an abundant number, since it is smaller than the sum of its proper divisors (217994804976).

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

100113251472 is a wasteful number, since it uses less digits than its factorization.

100113251472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24118 (or 24109 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 100113251472 its reverse (274152311001), we get a palindrome (374265562473).

The spelling of 100113251472 in words is "one hundred billion, one hundred thirteen million, two hundred fifty-one thousand, four hundred seventy-two".