102132223032000 has 448 divisors, whose sum is σ = 385592771266560. Its totient is φ = 23333912064000.

The previous prime is 102132223031947. The next prime is 102132223032011. The reversal of 102132223032000 is 230322231201.

It is a happy number.

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 (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 372991141 + ... + 373264859.

Almost surely, 2^{102132223032000} is an apocalyptic number.

102132223032000 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 102132223032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192796385633280).

102132223032000 is an abundant number, since it is smaller than the sum of its proper divisors (283460548234560).

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

102132223032000 is a wasteful number, since it uses less digits than its factorization.

102132223032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275977 (or 275957 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 102132223032000 its reverse (230322231201), we get a palindrome (102362545263201).

The spelling of 102132223032000 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred twenty-three million, thirty-two thousand".