10002200210200 has 48 divisors (see below), whose sum is σ = 25369216902360. Its totient is φ = 3637163712000.

The previous prime is 10002200210183. The next prime is 10002200210203. The reversal of 10002200210200 is 201200220001.

It is a super-3 number, since 3×10002200210200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002200210203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2273225121 + ... + 2273229520.

Almost surely, 2^{10002200210200} is an apocalyptic number.

10002200210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002200210200 is an abundant number, since it is smaller than the sum of its proper divisors (15367016692160).

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

10002200210200 is a wasteful number, since it uses less digits than its factorization.

10002200210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546454668 (or 4546454659 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10002200210200 its reverse (201200220001), we get a palindrome (10203400430201).

The spelling of 10002200210200 in words is "ten trillion, two billion, two hundred million, two hundred ten thousand, two hundred".