102112120212 has 12 divisors (see below), whose sum is σ = 238261613856. Its totient is φ = 34037373400.

The previous prime is 102112120193. The next prime is 102112120217. The reversal of 102112120212 is 212021211201.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 102112120191 and 102112120200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112120217) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4254671664 + ... + 4254671687.

It is an arithmetic number, because the mean of its divisors is an integer number (19855134488).

Almost surely, 2^102112120212 is an apocalyptic number.

102112120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102112120212 is an abundant number, since it is smaller than the sum of its proper divisors (136149493644).

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

102112120212 is a wasteful number, since it uses less digits than its factorization.

102112120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8509343358 (or 8509343356 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102112120212 its reverse (212021211201), we get a palindrome (314133331413).

The spelling of 102112120212 in words is "one hundred two billion, one hundred twelve million, one hundred twenty thousand, two hundred twelve".