102332132100000 has 2592 divisors, whose sum is σ = 416159603299440. Its totient is φ = 23813222400000.

The previous prime is 102332132099971. The next prime is 102332132100017. The reversal of 102332132100000 is 1231233201.

102332132100000 is a `hidden beast` number, since 1 + 0 + 23 + 321 + 321 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 69659521827984 + 32672610272016 = 8346228^2 + 5715996^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 439193699884 + ... + 439193700116.

Almost surely, 2^{102332132100000} is an apocalyptic number.

102332132100000 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 102332132100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208079801649720).

102332132100000 is an abundant number, since it is smaller than the sum of its proper divisors (313827471199440).

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

102332132100000 is a wasteful number, since it uses less digits than its factorization.

102332132100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 400 counting only the distinct ones).

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

Adding to 102332132100000 its reverse (1231233201), we get a palindrome (102333363333201).

The spelling of 102332132100000 in words is "one hundred two trillion, three hundred thirty-two billion, one hundred thirty-two million, one hundred thousand".