102120544000 has 144 divisors (see below), whose sum is σ = 257466736800. Its totient is φ = 40355020800.

The previous prime is 102120543989. The next prime is 102120544021. The reversal of 102120544000 is 445021201.

102120544000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2636776 + ... + 2675224.

It is an arithmetic number, because the mean of its divisors is an integer number (1787963450).

Almost surely, 2^102120544000 is an apocalyptic number.

102120544000 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 102120544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128733368400).

102120544000 is an abundant number, since it is smaller than the sum of its proper divisors (155346192800).

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

102120544000 is an frugal number, since it uses more digits than its factorization.

102120544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38563 (or 38539 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 102120544000 its reverse (445021201), we get a palindrome (102565565201).

The spelling of 102120544000 in words is "one hundred two billion, one hundred twenty million, five hundred forty-four thousand".