101208328252416 has 2376 divisors, whose sum is σ = 389273627433600. Its totient is φ = 25206128640000.

The previous prime is 101208328252411. The next prime is 101208328252439. The reversal of 101208328252416 is 614252823802101.

101208328252416 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 0 + 8 + 32 + 82 + 524 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (101208328252411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 252389845816 + ... + 252389846216.

Almost surely, 2^{101208328252416} is an apocalyptic number.

101208328252416 is a gapful number since it is divisible by the number (16) 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 101208328252416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194636813716800).

101208328252416 is an abundant number, since it is smaller than the sum of its proper divisors (288065299181184).

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

101208328252416 is a wasteful number, since it uses less digits than its factorization.

101208328252416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 101208328252416 in words is "one hundred one trillion, two hundred eight billion, three hundred twenty-eight million, two hundred fifty-two thousand, four hundred sixteen".