10002200322300 has 288 divisors, whose sum is σ = 30354863831040. Its totient is φ = 2539927756800.

The previous prime is 10002200322277. The next prime is 10002200322313. The reversal of 10002200322300 is 322300220001.

It is a super-2 number, since 2×10002200322300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10002200322300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146040864 + ... + 146109336.

Almost surely, 2^{10002200322300} is an apocalyptic number.

10002200322300 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 10002200322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177431915520).

10002200322300 is an abundant number, since it is smaller than the sum of its proper divisors (20352663508740).

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

10002200322300 is a wasteful number, since it uses less digits than its factorization.

10002200322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68773 (or 68766 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10002200322300 its reverse (322300220001), we get a palindrome (10324500542301).

The spelling of 10002200322300 in words is "ten trillion, two billion, two hundred million, three hundred twenty-two thousand, three hundred".