100241272750080 has 1920 divisors, whose sum is σ = 417630813917184. Its totient is φ = 19925670297600.

The previous prime is 100241272750067. The next prime is 100241272750093. The reversal of 100241272750080 is 80057272142001.

It is an interprime number because it is at equal distance from previous prime (100241272750067) and next prime (100241272750093).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×100241272750080² (a number of 29 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 42710383467 + ... + 42710385813.

Almost surely, 2^{100241272750080} is an apocalyptic number.

100241272750080 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 100241272750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208815406958592).

100241272750080 is an abundant number, since it is smaller than the sum of its proper divisors (317389541167104).

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

100241272750080 is a wasteful number, since it uses less digits than its factorization.

100241272750080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The spelling of 100241272750080 in words is "one hundred trillion, two hundred forty-one billion, two hundred seventy-two million, seven hundred fifty thousand, eighty".