102224232401320 has 256 divisors, whose sum is σ = 242975902176000. Its totient is φ = 38651077656576.

The previous prime is 102224232401273. The next prime is 102224232401327. The reversal of 102224232401320 is 23104232422201.

It is not an unprimeable number, because it can be changed into a prime (102224232401327) 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, 18884946934 + ... + 18884952346.

It is an arithmetic number, because the mean of its divisors is an integer number (949124617875).

Almost surely, 2^{102224232401320} is an apocalyptic number.

102224232401320 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 102224232401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121487951088000).

102224232401320 is an abundant number, since it is smaller than the sum of its proper divisors (140751669774680).

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

102224232401320 is a wasteful number, since it uses less digits than its factorization.

102224232401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6972 (or 6968 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 102224232401320 its reverse (23104232422201), we get a palindrome (125328464823521).

The spelling of 102224232401320 in words is "one hundred two trillion, two hundred twenty-four billion, two hundred thirty-two million, four hundred one thousand, three hundred twenty".