102102320112 has 80 divisors (see below), whose sum is σ = 284424608160. Its totient is φ = 31375097856.

The previous prime is 102102320101. The next prime is 102102320119. The reversal of 102102320112 is 211023201201.

102102320112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102102320091 and 102102320100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102320119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373468 + ... + 586244.

It is an arithmetic number, because the mean of its divisors is an integer number (3555307602).

Almost surely, 2^102102320112 is an apocalyptic number.

102102320112 is a gapful number since it is divisible by the number (12) 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 102102320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142212304080).

102102320112 is an abundant number, since it is smaller than the sum of its proper divisors (182322288048).

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

102102320112 is a wasteful number, since it uses less digits than its factorization.

102102320112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213570 (or 213564 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102102320112 its reverse (211023201201), we get a palindrome (313125521313).

The spelling of 102102320112 in words is "one hundred two billion, one hundred two million, three hundred twenty thousand, one hundred twelve".