102002200 has 48 divisors (see below), whose sum is σ = 239382000. Its totient is φ = 40417920.

The previous prime is 102002191. The next prime is 102002249. The reversal of 102002200 is 2200201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19461 + ... + 24139.

It is an arithmetic number, because the mean of its divisors is an integer number (4987125).

Almost surely, 2^102002200 is an apocalyptic number.

102002200 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 102002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119691000).

102002200 is an abundant number, since it is smaller than the sum of its proper divisors (137379800).

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

102002200 is a wasteful number, since it uses less digits than its factorization.

102002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 102002200 is about 10099.6138540045. The cubic root of 102002200 is about 467.2362320020.

Adding to 102002200 its reverse (2200201), we get a palindrome (104202401).

The spelling of 102002200 in words is "one hundred two million, two thousand, two hundred".