100989378936992 has 864 divisors, whose sum is σ = 280279013978880. Its totient is φ = 35476356464640.

The previous prime is 100989378936937. The next prime is 100989378936997. The reversal of 100989378936992 is 299639873989001.

It is a Smith number, since the sum of its digits (83) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 100989378936992.

It is not an unprimeable number, because it can be changed into a prime (100989378936997) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21997248617 + ... + 21997253207.

It is an arithmetic number, because the mean of its divisors is an integer number (324397006920).

Almost surely, 2^{100989378936992} 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 100989378936992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140139506989440).

100989378936992 is an abundant number, since it is smaller than the sum of its proper divisors (179289635041888).

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

100989378936992 is a wasteful number, since it uses less digits than its factorization.

100989378936992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 2857026816, while the sum is 83.

The spelling of 100989378936992 in words is "one hundred trillion, nine hundred eighty-nine billion, three hundred seventy-eight million, nine hundred thirty-six thousand, nine hundred ninety-two".