212102200202112 has 288 divisors, whose sum is σ = 706185665913000. Its totient is φ = 60890583029760.

The previous prime is 212102200202111. The next prime is 212102200202231. The reversal of 212102200202112 is 211202002201212.

It is a happy number.

212102200202112 is a `hidden beast` number, since 2 + 1 + 210 + 220 + 0 + 20 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102200202111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37394287 + ... + 42691182.

Almost surely, 2^{212102200202112} is an apocalyptic number.

212102200202112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212102200202112 is an abundant number, since it is smaller than the sum of its proper divisors (494083465710888).

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

212102200202112 is a wasteful number, since it uses less digits than its factorization.

212102200202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80085530 (or 80085504 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212102200202112 its reverse (211202002201212), we get a palindrome (423304202403324).

The spelling of 212102200202112 in words is "two hundred twelve trillion, one hundred two billion, two hundred million, two hundred two thousand, one hundred twelve".