102321132113200 has 960 divisors, whose sum is σ = 348955515417600. Its totient is φ = 27767361945600.

The previous prime is 102321132113173. The next prime is 102321132113209. The reversal of 102321132113200 is 2311231123201.

It is a super-2 number, since 2×102321132113200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (102321132113209) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1742111034 + ... + 1742169766.

It is an arithmetic number, because the mean of its divisors is an integer number (363495328560).

Almost surely, 2^{102321132113200} is an apocalyptic number.

102321132113200 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 102321132113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174477757708800).

102321132113200 is an abundant number, since it is smaller than the sum of its proper divisors (246634383304400).

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

102321132113200 is a wasteful number, since it uses less digits than its factorization.

102321132113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59030 (or 59019 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 102321132113200 its reverse (2311231123201), we get a palindrome (104632363236401).

The spelling of 102321132113200 in words is "one hundred two trillion, three hundred twenty-one billion, one hundred thirty-two million, one hundred thirteen thousand, two hundred".