1002100008 has 128 divisors (see below), whose sum is σ = 3166974720. Its totient is φ = 257126400.

The previous prime is 1002100007. The next prime is 1002100013. The reversal of 1002100008 is 8000012001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1002099966 and 1002100002.

It is not an unprimeable number, because it can be changed into a prime (1002100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74608 + ... + 87008.

It is an arithmetic number, because the mean of its divisors is an integer number (24741990).

Almost surely, 2^1002100008 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 1002100008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583487360).

1002100008 is an abundant number, since it is smaller than the sum of its proper divisors (2164874712).

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

1002100008 is a wasteful number, since it uses less digits than its factorization.

1002100008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12467 (or 12463 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1002100008 is about 31655.9632296981. The cubic root of 1002100008 is about 1000.6995132338.

Adding to 1002100008 its reverse (8000012001), we get a palindrome (9002112009).

The spelling of 1002100008 in words is "one billion, two million, one hundred thousand, eight".