10010121984 has 108 divisors (see below), whose sum is σ = 28916660136. Its totient is φ = 3330349056.

The previous prime is 10010121983. The next prime is 10010122037. The reversal of 10010121984 is 48912101001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010121983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1293294 + ... + 1301010.

Almost surely, 2^10010121984 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 10010121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14458330068).

10010121984 is an abundant number, since it is smaller than the sum of its proper divisors (18906538152).

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

10010121984 is an equidigital number, since it uses as much as digits as its factorization.

10010121984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8302 (or 8285 counting only the distinct ones).

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

Adding to 10010121984 its reverse (48912101001), we get a palindrome (58922222985).

The spelling of 10010121984 in words is "ten billion, ten million, one hundred twenty-one thousand, nine hundred eighty-four".