101996398055424 has 416 divisors, whose sum is σ = 277774437556224. Its totient is φ = 33280642908160.

The previous prime is 101996398055417. The next prime is 101996398055443. The reversal of 101996398055424 is 424550893699101.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 57076886659 + ... + 57076888445.

Almost surely, 2^{101996398055424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101996398055424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138887218778112).

101996398055424 is an abundant number, since it is smaller than the sum of its proper divisors (175778039500800).

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

101996398055424 is a wasteful number, since it uses less digits than its factorization.

101996398055424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 66.

The spelling of 101996398055424 in words is "one hundred one trillion, nine hundred ninety-six billion, three hundred ninety-eight million, fifty-five thousand, four hundred twenty-four".