1002108331224 has 1152 divisors, whose sum is σ = 3808513313280. Its totient is φ = 230965862400.

The previous prime is 1002108331223. The next prime is 1002108331247. The reversal of 1002108331224 is 4221338012001.

1002108331224 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 108 + 331 + 224 = 666.

1002108331224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1002108331224² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002108331223) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4749328479 + ... + 4749328689.

It is an arithmetic number, because the mean of its divisors is an integer number (3306001140).

Almost surely, 2^{1002108331224} is an apocalyptic number.

1002108331224 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 1002108331224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904256656640).

1002108331224 is an abundant number, since it is smaller than the sum of its proper divisors (2806404982056).

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

1002108331224 is a wasteful number, since it uses less digits than its factorization.

1002108331224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 1002108331224 in words is "one trillion, two billion, one hundred eight million, three hundred thirty-one thousand, two hundred twenty-four".