10202002008 has 128 divisors (see below), whose sum is σ = 28644606720. Its totient is φ = 3000706560.

The previous prime is 10202002001. The next prime is 10202002037. The reversal of 10202002008 is 80020020201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202002001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5107666 + ... + 5109662.

It is an arithmetic number, because the mean of its divisors is an integer number (223785990).

Almost surely, 2^10202002008 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 10202002008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14322303360).

10202002008 is an abundant number, since it is smaller than the sum of its proper divisors (18442604712).

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

10202002008 is a wasteful number, since it uses less digits than its factorization.

10202002008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10202002008 its reverse (80020020201), we get a palindrome (90222022209).

The spelling of 10202002008 in words is "ten billion, two hundred two million, two thousand, eight".