100241275680 has 1152 divisors, whose sum is σ = 446433120000. Its totient is φ = 20818280448.

The previous prime is 100241275657. The next prime is 100241275777. The reversal of 100241275680 is 86572142001.

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

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 191 ways as a sum of consecutive naturals, for example, 200884071 + ... + 200884569.

It is an arithmetic number, because the mean of its divisors is an integer number (387528750).

Almost surely, 2^100241275680 is an apocalyptic number.

100241275680 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 100241275680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223216560000).

100241275680 is an abundant number, since it is smaller than the sum of its proper divisors (346191844320).

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

100241275680 is a wasteful number, since it uses less digits than its factorization.

100241275680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 100241275680 in words is "one hundred billion, two hundred forty-one million, two hundred seventy-five thousand, six hundred eighty".