1010121984 has 108 divisors (see below), whose sum is σ = 2925258336. Its totient is φ = 335225856.

The previous prime is 1010121967. The next prime is 1010122033. The reversal of 1010121984 is 4891210101.

It is a congruent number.

It is an unprimeable number.

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, 605119 + ... + 606785.

Almost surely, 2^1010121984 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 1010121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462629168).

1010121984 is an abundant number, since it is smaller than the sum of its proper divisors (1915136352).

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

1010121984 is a wasteful number, since it uses less digits than its factorization.

1010121984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1935 counting only the distinct ones).

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

The square root of 1010121984 is about 31782.4162706362. The cubic root of 1010121984 is about 1003.3626744129.

The spelling of 1010121984 in words is "one billion, ten million, one hundred twenty-one thousand, nine hundred eighty-four".