100063598182912 has 640 divisors, whose sum is σ = 262604056264704. Its totient is φ = 37006275575808.

The previous prime is 100063598182901. The next prime is 100063598182913. The reversal of 100063598182912 is 219281895360001.

It is a super-2 number, since 2×100063598182912² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100063598182913) 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, 69152451373 + ... + 69152452819.

Almost surely, 2^{100063598182912} 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 100063598182912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131302028132352).

100063598182912 is an abundant number, since it is smaller than the sum of its proper divisors (162540458081792).

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

100063598182912 is a wasteful number, since it uses less digits than its factorization.

100063598182912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 55.

The spelling of 100063598182912 in words is "one hundred trillion, sixty-three billion, five hundred ninety-eight million, one hundred eighty-two thousand, nine hundred twelve".