101077306447824 has 640 divisors, whose sum is σ = 357952889548800. Its totient is φ = 26661194219520.

The previous prime is 101077306447807. The next prime is 101077306447861. The reversal of 101077306447824 is 428744603770101.

It is a happy number.

101077306447824 is a `hidden beast` number, since 1 + 0 + 10 + 77 + 30 + 64 + 478 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2080055272 + ... + 2080103864.

It is an arithmetic number, because the mean of its divisors is an integer number (559301389920).

Almost surely, 2^{101077306447824} is an apocalyptic number.

101077306447824 is a gapful number since it is divisible by the number (14) 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 101077306447824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178976444774400).

101077306447824 is an abundant number, since it is smaller than the sum of its proper divisors (256875583100976).

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

101077306447824 is a wasteful number, since it uses less digits than its factorization.

101077306447824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49560 (or 49548 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 101077306447824 in words is "one hundred one trillion, seventy-seven billion, three hundred six million, four hundred forty-seven thousand, eight hundred twenty-four".