102025231328384 has 512 divisors, whose sum is σ = 262162053672960. Its totient is φ = 38466162524160.

The previous prime is 102025231328381. The next prime is 102025231328389. The reversal of 102025231328384 is 483823132520201.

It is a super-2 number, since 2×102025231328384² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102025231328381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19954081412 + ... + 19954086524.

It is an arithmetic number, because the mean of its divisors is an integer number (512035261080).

Almost surely, 2^{102025231328384} is an apocalyptic number.

102025231328384 is a gapful number since it is divisible by the number (14) 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 102025231328384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131081026836480).

102025231328384 is an abundant number, since it is smaller than the sum of its proper divisors (160136822344576).

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

102025231328384 is a wasteful number, since it uses less digits than its factorization.

102025231328384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6008 (or 5996 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

Adding to 102025231328384 its reverse (483823132520201), we get a palindrome (585848363848585).

The spelling of 102025231328384 in words is "one hundred two trillion, twenty-five billion, two hundred thirty-one million, three hundred twenty-eight thousand, three hundred eighty-four".