100198923798912 has 256 divisors, whose sum is σ = 279836434022400. Its totient is φ = 31726546790400.

The previous prime is 100198923798907. The next prime is 100198923798913. The reversal of 100198923798912 is 219897329891001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100198923798913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191595639 + ... + 192117897.

It is an arithmetic number, because the mean of its divisors is an integer number (1093111070400).

Almost surely, 2^{100198923798912} is an apocalyptic number.

100198923798912 is a gapful number since it is divisible by the number (12) 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 100198923798912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139918217011200).

100198923798912 is an abundant number, since it is smaller than the sum of its proper divisors (179637510223488).

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

100198923798912 is a wasteful number, since it uses less digits than its factorization.

100198923798912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522605 (or 522593 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 69.

The spelling of 100198923798912 in words is "one hundred trillion, one hundred ninety-eight billion, nine hundred twenty-three million, seven hundred ninety-eight thousand, nine hundred twelve".