102332221344 has 192 divisors, whose sum is σ = 324568944000. Its totient is φ = 31236378624.

The previous prime is 102332221297. The next prime is 102332221349. The reversal of 102332221344 is 443122233201.

102332221344 is a `hidden beast` number, since 102 + 332 + 221 + 3 + 4 + 4 = 666.

It is a super-3 number, since 3×102332221344³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102332221349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449307 + ... + 637605.

It is an arithmetic number, because the mean of its divisors is an integer number (1690463250).

Almost surely, 2^102332221344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102332221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162284472000).

102332221344 is an abundant number, since it is smaller than the sum of its proper divisors (222236722656).

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

102332221344 is a wasteful number, since it uses less digits than its factorization.

102332221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188372 (or 188358 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 102332221344 its reverse (443122233201), we get a palindrome (545454454545).

The spelling of 102332221344 in words is "one hundred two billion, three hundred thirty-two million, two hundred twenty-one thousand, three hundred forty-four".