102112111012 has 48 divisors (see below), whose sum is σ = 183598918272. Its totient is φ = 49672313600.

The previous prime is 102112110943. The next prime is 102112111043. The reversal of 102112111012 is 210111211201.

It is a happy number.

102112111012 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 = 102112110983 and 102112111001.

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 15 ways as a sum of consecutive naturals, for example, 42141633 + ... + 42144055.

It is an arithmetic number, because the mean of its divisors is an integer number (3824977464).

Almost surely, 2^102112111012 is an apocalyptic number.

It is an amenable number.

102112111012 is a deficient number, since it is larger than the sum of its proper divisors (81486807260).

102112111012 is a wasteful number, since it uses less digits than its factorization.

102112111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068 (or 4066 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102112111012 its reverse (210111211201), we get a palindrome (312223322213).

The spelling of 102112111012 in words is "one hundred two billion, one hundred twelve million, one hundred eleven thousand, twelve".