101271080816640 has 1248 divisors, whose sum is σ = 414991340275200. Its totient is φ = 22829543718912.

The previous prime is 101271080816597. The next prime is 101271080816657. The reversal of 101271080816640 is 46618080172101.

101271080816640 is a `hidden beast` number, since 101 + 271 + 0 + 80 + 8 + 166 + 40 = 666.

It is a super-4 number, since 4×101271080816640⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4615177509 + ... + 4615199451.

It is an arithmetic number, because the mean of its divisors is an integer number (332525112400).

Almost surely, 2^{101271080816640} is an apocalyptic number.

101271080816640 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 101271080816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207495670137600).

101271080816640 is an abundant number, since it is smaller than the sum of its proper divisors (313720259458560).

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

101271080816640 is an equidigital number, since it uses as much as digits as its factorization.

101271080816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22072 (or 22033 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 101271080816640 in words is "one hundred one trillion, two hundred seventy-one billion, eighty million, eight hundred sixteen thousand, six hundred forty".