102301123200 has 96 divisors (see below), whose sum is σ = 336954356160. Its totient is φ = 27280296960.

The previous prime is 102301123187. The next prime is 102301123201. The reversal of 102301123200 is 2321103201.

It is a tau number, because it is divible by the number of its divisors (96).

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 102301123200.

It is not an unprimeable number, because it can be changed into a prime (102301123201) 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 11 ways as a sum of consecutive naturals, for example, 5318584 + ... + 5337783.

It is an arithmetic number, because the mean of its divisors is an integer number (3509941210).

Almost surely, 2^102301123200 is an apocalyptic number.

102301123200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102301123200 is an abundant number, since it is smaller than the sum of its proper divisors (234653232960).

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

102301123200 is a wasteful number, since it uses less digits than its factorization.

102301123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10656394 (or 10656377 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102301123200 its reverse (2321103201), we get a palindrome (104622226401).

The spelling of 102301123200 in words is "one hundred two billion, three hundred one million, one hundred twenty-three thousand, two hundred".