102012002112 has 28 divisors (see below), whose sum is σ = 269906756096. Its totient is φ = 34004000640.

The previous prime is 102012002111. The next prime is 102012002129. The reversal of 102012002112 is 211200210201.

102012002112 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 (102012002111) 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 3 ways as a sum of consecutive naturals, for example, 265656064 + ... + 265656447.

Almost surely, 2^102012002112 is an apocalyptic number.

102012002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102012002112 is an abundant number, since it is smaller than the sum of its proper divisors (167894753984).

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

102012002112 is an equidigital number, since it uses as much as digits as its factorization.

102012002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531312526 (or 531312516 counting only the distinct ones).

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

Adding to 102012002112 its reverse (211200210201), we get a palindrome (313212212313).

The spelling of 102012002112 in words is "one hundred two billion, twelve million, two thousand, one hundred twelve".