102321303120 has 120 divisors (see below), whose sum is σ = 343773762696. Its totient is φ = 27274189824.

The previous prime is 102321303103. The next prime is 102321303157. The reversal of 102321303120 is 21303123201.

102321303120 is a `hidden beast` number, since 1 + 0 + 2 + 321 + 30 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32859537984 + 69461765136 = 181272^2 + 263556^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102321303093 and 102321303102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1754754 + ... + 1812126.

Almost surely, 2^102321303120 is an apocalyptic number.

102321303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102321303120 is an abundant number, since it is smaller than the sum of its proper divisors (241452459576).

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

102321303120 is a wasteful number, since it uses less digits than its factorization.

102321303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59869 (or 59860 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102321303120 its reverse (21303123201), we get a palindrome (123624426321).

The spelling of 102321303120 in words is "one hundred two billion, three hundred twenty-one million, three hundred three thousand, one hundred twenty".