101371827984 has 320 divisors, whose sum is σ = 314741760000. Its totient is φ = 28090782720.

The previous prime is 101371827983. The next prime is 101371828037. The reversal of 101371827984 is 489728173101.

It is not an unprimeable number, because it can be changed into a prime (101371827983) by changing a digit.

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, 76738044 + ... + 76739364.

It is an arithmetic number, because the mean of its divisors is an integer number (983568000).

Almost surely, 2^101371827984 is an apocalyptic number.

101371827984 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 101371827984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157370880000).

101371827984 is an abundant number, since it is smaller than the sum of its proper divisors (213369932016).

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

101371827984 is a wasteful number, since it uses less digits than its factorization.

101371827984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The spelling of 101371827984 in words is "one hundred one billion, three hundred seventy-one million, eight hundred twenty-seven thousand, nine hundred eighty-four".