101971431744 has 448 divisors, whose sum is σ = 347602698240. Its totient is φ = 25659555840.

The previous prime is 101971431739. The next prime is 101971431769. The reversal of 101971431744 is 447134179101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 101971431696 and 101971431705.

It is a congruent number.

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, 39537847 + ... + 39540425.

It is an arithmetic number, because the mean of its divisors is an integer number (775898880).

Almost surely, 2^101971431744 is an apocalyptic number.

101971431744 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 101971431744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173801349120).

101971431744 is an abundant number, since it is smaller than the sum of its proper divisors (245631266496).

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

101971431744 is a wasteful number, since it uses less digits than its factorization.

101971431744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 101971431744 in words is "one hundred one billion, nine hundred seventy-one million, four hundred thirty-one thousand, seven hundred forty-four".