100001111100984 has 256 divisors, whose sum is σ = 302581742400000. Its totient is φ = 30480474286080.

The previous prime is 100001111100973. The next prime is 100001111100991. The reversal of 100001111100984 is 489001111100001.

It is a happy number.

100001111100984 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371314327 + ... + 371583545.

It is an arithmetic number, because the mean of its divisors is an integer number (1181959931250).

Almost surely, 2^{100001111100984} 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 100001111100984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151290871200000).

100001111100984 is an abundant number, since it is smaller than the sum of its proper divisors (202580631299016).

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

100001111100984 is a wasteful number, since it uses less digits than its factorization.

100001111100984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272403 (or 272393 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 27.

Adding to 100001111100984 its reverse (489001111100001), we get a palindrome (589002222200985).

The spelling of 100001111100984 in words is "one hundred trillion, one billion, one hundred eleven million, one hundred thousand, nine hundred eighty-four".