102132003132000 has 288 divisors, whose sum is σ = 362789388954720. Its totient is φ = 27210937881600.

The previous prime is 102132003131993. The next prime is 102132003132013. The reversal of 102132003132000 is 231300231201.

102132003132000 is a `hidden beast` number, since 1 + 0 + 21 + 320 + 0 + 3 + 1 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39164866 + ... + 41691134.

It is an arithmetic number, because the mean of its divisors is an integer number (1259685378315).

Almost surely, 2^{102132003132000} is an apocalyptic number.

102132003132000 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 102132003132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181394694477360).

102132003132000 is an abundant number, since it is smaller than the sum of its proper divisors (260657385822720).

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

102132003132000 is a wasteful number, since it uses less digits than its factorization.

102132003132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527423 (or 2527402 counting only the distinct ones).

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

Adding to 102132003132000 its reverse (231300231201), we get a palindrome (102363303363201).

The spelling of 102132003132000 in words is "one hundred two trillion, one hundred thirty-two billion, three million, one hundred thirty-two thousand".