100201731840 has 864 divisors, whose sum is σ = 441715921920. Its totient is φ = 20416167936.

The previous prime is 100201731829. The next prime is 100201731841. The reversal of 100201731840 is 48137102001.

100201731840 is a `hidden beast` number, since 100 + 201 + 7 + 318 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201731841) 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 95 ways as a sum of consecutive naturals, for example, 26044797 + ... + 26048643.

It is an arithmetic number, because the mean of its divisors is an integer number (511245280).

Almost surely, 2^100201731840 is an apocalyptic number.

100201731840 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 100201731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220857960960).

100201731840 is an abundant number, since it is smaller than the sum of its proper divisors (341514190080).

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

100201731840 is a wasteful number, since it uses less digits than its factorization.

100201731840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 100201731840 its reverse (48137102001), we get a palindrome (148338833841).

The spelling of 100201731840 in words is "one hundred billion, two hundred one million, seven hundred thirty-one thousand, eight hundred forty".