102002200000 has 168 divisors, whose sum is σ = 255372717600. Its totient is φ = 40417920000.

The previous prime is 102002199977. The next prime is 102002200007. The reversal of 102002200000 is 2200201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002200007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21797661 + ... + 21802339.

It is an arithmetic number, because the mean of its divisors is an integer number (1520075700).

Almost surely, 2^102002200000 is an apocalyptic number.

102002200000 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 102002200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127686358800).

102002200000 is an abundant number, since it is smaller than the sum of its proper divisors (153370517600).

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

102002200000 is an frugal number, since it uses more digits than its factorization.

102002200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4825 (or 4795 counting only the distinct ones).

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

Adding to 102002200000 its reverse (2200201), we get a palindrome (102004400201).

The spelling of 102002200000 in words is "one hundred two billion, two million, two hundred thousand".