1002002232096 has 288 divisors, whose sum is σ = 3094433072640. Its totient is φ = 306475425792.

The previous prime is 1002002232089. The next prime is 1002002232167. The reversal of 1002002232096 is 6902322002001.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45138376 + ... + 45160568.

It is an arithmetic number, because the mean of its divisors is an integer number (10744559280).

Almost surely, 2^{1002002232096} is an apocalyptic number.

1002002232096 is a gapful number since it is divisible by the number (16) 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 1002002232096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547216536320).

1002002232096 is an abundant number, since it is smaller than the sum of its proper divisors (2092430840544).

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

1002002232096 is a wasteful number, since it uses less digits than its factorization.

1002002232096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22488 (or 22477 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1002002232096 its reverse (6902322002001), we get a palindrome (7904324234097).

The spelling of 1002002232096 in words is "one trillion, two billion, two million, two hundred thirty-two thousand, ninety-six".