102005200000 has 384 divisors, whose sum is σ = 281119507200. Its totient is φ = 36556800000.

The previous prime is 102005199997. The next prime is 102005200057. The reversal of 102005200000 is 2500201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102005200000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426799881 + ... + 426800119.

It is an arithmetic number, because the mean of its divisors is an integer number (732082050).

Almost surely, 2^102005200000 is an apocalyptic number.

102005200000 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 102005200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140559753600).

102005200000 is an abundant number, since it is smaller than the sum of its proper divisors (179114307200).

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

102005200000 is an frugal number, since it uses more digits than its factorization.

102005200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

Adding to 102005200000 its reverse (2500201), we get a palindrome (102007700201).

The spelling of 102005200000 in words is "one hundred two billion, five million, two hundred thousand".