102200140320 has 192 divisors, whose sum is σ = 351864124416. Its totient is φ = 24822743040.

The previous prime is 102200140247. The next prime is 102200140321. The reversal of 102200140320 is 23041002201.

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 102200140320.

It is not an unprimeable number, because it can be changed into a prime (102200140321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50952 + ... + 454968.

It is an arithmetic number, because the mean of its divisors is an integer number (1832625648).

Almost surely, 2^102200140320 is an apocalyptic number.

102200140320 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 102200140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175932062208).

102200140320 is an abundant number, since it is smaller than the sum of its proper divisors (249663984096).

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

102200140320 is a wasteful number, since it uses less digits than its factorization.

102200140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404083 (or 404075 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102200140320 its reverse (23041002201), we get a palindrome (125241142521).

The spelling of 102200140320 in words is "one hundred two billion, two hundred million, one hundred forty thousand, three hundred twenty".