102132133200 has 240 divisors, whose sum is σ = 365349136000. Its totient is φ = 27097804800.

The previous prime is 102132133183. The next prime is 102132133223. The reversal of 102132133200 is 2331231201.

102132133200 is a `hidden beast` number, since 1 + 0 + 21 + 321 + 3 + 320 + 0 = 666.

102132133200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2125440 + ... + 2172960.

Almost surely, 2^102132133200 is an apocalyptic number.

102132133200 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 102132133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182674568000).

102132133200 is an abundant number, since it is smaller than the sum of its proper divisors (263217002800).

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

102132133200 is a wasteful number, since it uses less digits than its factorization.

102132133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47747 (or 47730 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102132133200 its reverse (2331231201), we get a palindrome (104463364401).

The spelling of 102132133200 in words is "one hundred two billion, one hundred thirty-two million, one hundred thirty-three thousand, two hundred".