101533969728 has 336 divisors, whose sum is σ = 305697680704. Its totient is φ = 32188907520.

The previous prime is 101533969721. The next prime is 101533969741. The reversal of 101533969728 is 827969335101.

101533969728 is a `hidden beast` number, since 10 + 1 + 533 + 9 + 6 + 97 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101533969721) 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 47 ways as a sum of consecutive naturals, for example, 301287576 + ... + 301287912.

Almost surely, 2^101533969728 is an apocalyptic number.

101533969728 is a gapful number since it is divisible by the number (18) 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 101533969728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152848840352).

101533969728 is an abundant number, since it is smaller than the sum of its proper divisors (204163710976).

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

101533969728 is a wasteful number, since it uses less digits than its factorization.

101533969728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 101533969728 in words is "one hundred one billion, five hundred thirty-three million, nine hundred sixty-nine thousand, seven hundred twenty-eight".