102136320000 has 1560 divisors, whose sum is σ = 447085486848. Its totient is φ = 22118400000.

The previous prime is 102136319947. The next prime is 102136320019. The reversal of 102136320000 is 23631201.

102136320000 is a `hidden beast` number, since 10 + 21 + 3 + 632 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

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 119 ways as a sum of consecutive naturals, for example, 3294719985 + ... + 3294720015.

Almost surely, 2^102136320000 is an apocalyptic number.

102136320000 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 102136320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223542743424).

102136320000 is an abundant number, since it is smaller than the sum of its proper divisors (344949166848).

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

102136320000 is a wasteful number, since it uses less digits than its factorization.

102136320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

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

Adding to 102136320000 its reverse (23631201), we get a palindrome (102159951201).

The spelling of 102136320000 in words is "one hundred two billion, one hundred thirty-six million, three hundred twenty thousand".