102102002112 has 112 divisors (see below), whose sum is σ = 297621984384. Its totient is φ = 30633600000.

The previous prime is 102102002089. The next prime is 102102002117. The reversal of 102102002112 is 211200201201.

102102002112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102002117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26014 + ... + 452637.

Almost surely, 2^102102002112 is an apocalyptic number.

102102002112 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 102102002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148810992192).

102102002112 is an abundant number, since it is smaller than the sum of its proper divisors (195519982272).

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

102102002112 is a wasteful number, since it uses less digits than its factorization.

102102002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478778 (or 478768 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102102002112 its reverse (211200201201), we get a palindrome (313302203313).

The spelling of 102102002112 in words is "one hundred two billion, one hundred two million, two thousand, one hundred twelve".