101330584871880 has 1024 divisors, whose sum is σ = 381786025420800. Its totient is φ = 20948708229120.

The previous prime is 101330584871849. The next prime is 101330584871939. The reversal of 101330584871880 is 88178485033101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101330584871880.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 41580050022 + ... + 41580052458.

It is an arithmetic number, because the mean of its divisors is an integer number (372837915450).

Almost surely, 2^{101330584871880} is an apocalyptic number.

101330584871880 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 101330584871880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190893012710400).

101330584871880 is an abundant number, since it is smaller than the sum of its proper divisors (280455440548920).

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

101330584871880 is a wasteful number, since it uses less digits than its factorization.

101330584871880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 57.

The spelling of 101330584871880 in words is "one hundred one trillion, three hundred thirty billion, five hundred eighty-four million, eight hundred seventy-one thousand, eight hundred eighty".