212101010102112 has 48 divisors (see below), whose sum is σ = 556772044136112. Its totient is φ = 70699461447680.

The previous prime is 212101010102081. The next prime is 212101010102123. The reversal of 212101010102112 is 211201010101212.

It is a happy number.

212101010102112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 212101010102091 and 212101010102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5857689 + ... + 21412952.

It is an arithmetic number, because the mean of its divisors is an integer number (11599417586169).

Almost surely, 2^{212101010102112} is an apocalyptic number.

It is an amenable number.

212101010102112 is an abundant number, since it is smaller than the sum of its proper divisors (344671034034000).

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

212101010102112 is a wasteful number, since it uses less digits than its factorization.

212101010102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27351671 (or 27351663 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212101010102112 its reverse (211201010101212), we get a palindrome (423302020203324).

The spelling of 212101010102112 in words is "two hundred twelve trillion, one hundred one billion, ten million, one hundred two thousand, one hundred twelve".