100111001984 has 64 divisors (see below), whose sum is σ = 228489424800. Its totient is φ = 42799656960.

The previous prime is 100111001959. The next prime is 100111001999. The reversal of 100111001984 is 489100111001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229874 + ... + 503054.

Almost surely, 2^100111001984 is an apocalyptic number.

100111001984 is a gapful number since it is divisible by the number (14) 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 100111001984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114244712400).

100111001984 is an abundant number, since it is smaller than the sum of its proper divisors (128378422816).

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

100111001984 is an equidigital number, since it uses as much as digits as its factorization.

100111001984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273611 (or 273599 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 26.

Adding to 100111001984 its reverse (489100111001), we get a palindrome (589211112985).

The spelling of 100111001984 in words is "one hundred billion, one hundred eleven million, one thousand, nine hundred eighty-four".