212102121112112 has 160 divisors (see below), whose sum is σ = 542608345843200. Its totient is φ = 77759046512640.

The previous prime is 212102121112097. The next prime is 212102121112153. The reversal of 212102121112112 is 211211121201212.

It is a happy number.

212102121112112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94161143 + ... + 96387369.

It is an arithmetic number, because the mean of its divisors is an integer number (3391302161520).

Almost surely, 2^{212102121112112} is an apocalyptic number.

212102121112112 is a gapful number since it is divisible by the number (22) 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 212102121112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271304172921600).

212102121112112 is an abundant number, since it is smaller than the sum of its proper divisors (330506224731088).

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

212102121112112 is a wasteful number, since it uses less digits than its factorization.

212102121112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230819 (or 2230813 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 212102121112112 its reverse (211211121201212), we get a palindrome (423313242313324).

The spelling of 212102121112112 in words is "two hundred twelve trillion, one hundred two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twelve".