101324139840 has 1792 divisors, whose sum is σ = 488772403200. Its totient is φ = 19176652800.

The previous prime is 101324139811. The next prime is 101324139869. The reversal of 101324139840 is 48931423101.

101324139840 is a `hidden beast` number, since 10 + 13 + 241 + 398 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (101324139811) and next prime (101324139869).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101324139795 and 101324139804.

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 255 ways as a sum of consecutive naturals, for example, 3268520625 + ... + 3268520655.

Almost surely, 2^101324139840 is an apocalyptic number.

101324139840 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 101324139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244386201600).

101324139840 is an abundant number, since it is smaller than the sum of its proper divisors (387448263360).

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

101324139840 is a wasteful number, since it uses less digits than its factorization.

101324139840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 101324139840 in words is "one hundred one billion, three hundred twenty-four million, one hundred thirty-nine thousand, eight hundred forty".