1002002232105 has 72 divisors (see below), whose sum is σ = 2020756795200. Its totient is φ = 457969038912.

The previous prime is 1002002232089. The next prime is 1002002232167. The reversal of 1002002232105 is 5012322002001.

It is not a de Polignac number, because 1002002232105 - 2⁴ = 1002002232089 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12039726 + ... + 12122664.

It is an arithmetic number, because the mean of its divisors is an integer number (28066066600).

Almost surely, 2^{1002002232105} is an apocalyptic number.

1002002232105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1002002232105 is an abundant number, since it is smaller than the sum of its proper divisors (1018754563095).

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

1002002232105 is a wasteful number, since it uses less digits than its factorization.

1002002232105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88443 (or 88433 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 1002002232105 its reverse (5012322002001), we get a palindrome (6014324234106).

The spelling of 1002002232105 in words is "one trillion, two billion, two million, two hundred thirty-two thousand, one hundred five".