10021002200 has 288 divisors, whose sum is σ = 26939682000. Its totient is φ = 3459456000.

The previous prime is 10021002151. The next prime is 10021002239. The reversal of 10021002200 is 220012001.

10021002200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 76496135 + ... + 76496265.

Almost surely, 2^10021002200 is an apocalyptic number.

10021002200 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 10021002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13469841000).

10021002200 is an abundant number, since it is smaller than the sum of its proper divisors (16918679800).

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

10021002200 is a wasteful number, since it uses less digits than its factorization.

10021002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10021002200 its reverse (220012001), we get a palindrome (10241014201).

The spelling of 10021002200 in words is "ten billion, twenty-one million, two thousand, two hundred".