101065488099840 has 640 divisors, whose sum is σ = 391843379347200. Its totient is φ = 24487298334720.

The previous prime is 101065488099817. The next prime is 101065488099881. The reversal of 101065488099840 is 48990884560101.

101065488099840 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 6 + 548 + 8 + 0 + 9 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 1424043876 + ... + 1424114844.

It is an arithmetic number, because the mean of its divisors is an integer number (612255280230).

Almost surely, 2^{101065488099840} is an apocalyptic number.

101065488099840 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 101065488099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195921689673600).

101065488099840 is an abundant number, since it is smaller than the sum of its proper divisors (290777891247360).

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

101065488099840 is a wasteful number, since it uses less digits than its factorization.

101065488099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72885 (or 72863 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 101065488099840 in words is "one hundred one trillion, sixty-five billion, four hundred eighty-eight million, ninety-nine thousand, eight hundred forty".