102321213120 has 448 divisors, whose sum is σ = 413659929600. Its totient is φ = 23323852800.

The previous prime is 102321213101. The next prime is 102321213121. The reversal of 102321213120 is 21312123201.

102321213120 is a `hidden beast` number, since 1 + 0 + 232 + 121 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 102321213093 and 102321213102.

It is not an unprimeable number, because it can be changed into a prime (102321213121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 24250371 + ... + 24254589.

Almost surely, 2^102321213120 is an apocalyptic number.

102321213120 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 102321213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206829964800).

102321213120 is an abundant number, since it is smaller than the sum of its proper divisors (311338716480).

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

102321213120 is a wasteful number, since it uses less digits than its factorization.

102321213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102321213120 its reverse (21312123201), we get a palindrome (123633336321).

The spelling of 102321213120 in words is "one hundred two billion, three hundred twenty-one million, two hundred thirteen thousand, one hundred twenty".