102120332112 has 120 divisors (see below), whose sum is σ = 294568159080. Its totient is φ = 33001758720.

The previous prime is 102120332063. The next prime is 102120332131. The reversal of 102120332112 is 211233021201.

102120332112 is a `hidden beast` number, since 10 + 212 + 0 + 332 + 112 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42116890176 + 60003441936 = 205224^2 + 244956^2 .

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1463064 + ... + 1531272.

It is an arithmetic number, because the mean of its divisors is an integer number (2454734659).

Almost surely, 2^102120332112 is an apocalyptic number.

102120332112 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 102120332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147284079540).

102120332112 is an abundant number, since it is smaller than the sum of its proper divisors (192447826968).

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

102120332112 is a wasteful number, since it uses less digits than its factorization.

102120332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68541 (or 68532 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102120332112 its reverse (211233021201), we get a palindrome (313353353313).

The spelling of 102120332112 in words is "one hundred two billion, one hundred twenty million, three hundred thirty-two thousand, one hundred twelve".