1002304304100 has 216 divisors, whose sum is σ = 3483460169280. Its totient is φ = 238999392000.

The previous prime is 1002304304083. The next prime is 1002304304119. The reversal of 1002304304100 is 14034032001.

1002304304100 is a `hidden beast` number, since 1 + 0 + 0 + 230 + 430 + 4 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×1002304304100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 225960 + ... + 1433759.

Almost surely, 2^{1002304304100} is an apocalyptic number.

1002304304100 is a gapful number since it is divisible by the number (10) 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 1002304304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741730084640).

1002304304100 is an abundant number, since it is smaller than the sum of its proper divisors (2481155865180).

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

1002304304100 is a wasteful number, since it uses less digits than its factorization.

1002304304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659811 (or 1659801 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1002304304100 its reverse (14034032001), we get a palindrome (1016338336101).

The spelling of 1002304304100 in words is "one trillion, two billion, three hundred four million, three hundred four thousand, one hundred".