101239882744 has 256 divisors, whose sum is σ = 264539520000. Its totient is φ = 35784645120.

The previous prime is 101239882729. The next prime is 101239882817. The reversal of 101239882744 is 447288932101.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 23148942 + ... + 23153314.

It is an arithmetic number, because the mean of its divisors is an integer number (1033357500).

Almost surely, 2^101239882744 is an apocalyptic number.

101239882744 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 101239882744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132269760000).

101239882744 is an abundant number, since it is smaller than the sum of its proper divisors (163299637256).

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

101239882744 is a wasteful number, since it uses less digits than its factorization.

101239882744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 101239882744 in words is "one hundred one billion, two hundred thirty-nine million, eight hundred eighty-two thousand, seven hundred forty-four".