10001121984 has 168 divisors, whose sum is σ = 33021267968. Its totient is φ = 2834818560.

The previous prime is 10001121967. The next prime is 10001122007. The reversal of 10001121984 is 48912110001.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502299 + ... + 521829.

Almost surely, 2^10001121984 is an apocalyptic number.

10001121984 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 10001121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16510633984).

10001121984 is an abundant number, since it is smaller than the sum of its proper divisors (23020145984).

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

10001121984 is a wasteful number, since it uses less digits than its factorization.

10001121984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19683 (or 19670 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

Adding to 10001121984 its reverse (48912110001), we get a palindrome (58913231985).

The spelling of 10001121984 in words is "ten billion, one million, one hundred twenty-one thousand, nine hundred eighty-four".