102200002200 has 144 divisors (see below), whose sum is σ = 344849598600. Its totient is φ = 27124070400.

The previous prime is 102200002147. The next prime is 102200002213. The reversal of 102200002200 is 2200002201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 245256 + ... + 514344.

Almost surely, 2^102200002200 is an apocalyptic number.

102200002200 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 102200002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172424799300).

102200002200 is an abundant number, since it is smaller than the sum of its proper divisors (242649596400).

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

102200002200 is a wasteful number, since it uses less digits than its factorization.

102200002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269322 (or 269310 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 102200002200 its reverse (2200002201), we get a palindrome (104400004401).

Subtracting from 102200002200 its reverse (2200002201), we obtain a palindrome (99999999999).

The spelling of 102200002200 in words is "one hundred two billion, two hundred million, two thousand, two hundred".