101010109984 has 144 divisors (see below), whose sum is σ = 234558374400. Its totient is φ = 42688859136.

The previous prime is 101010109909. The next prime is 101010110011. The reversal of 101010109984 is 489901010101.

101010109984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70193937 + ... + 70195375.

It is an arithmetic number, because the mean of its divisors is an integer number (1628877600).

Almost surely, 2^101010109984 is an apocalyptic number.

101010109984 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 101010109984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117279187200).

101010109984 is an abundant number, since it is smaller than the sum of its proper divisors (133548264416).

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

101010109984 is a wasteful number, since it uses less digits than its factorization.

101010109984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 34.

The spelling of 101010109984 in words is "one hundred one billion, ten million, one hundred nine thousand, nine hundred eighty-four".