212112202102200 has 72 divisors (see below), whose sum is σ = 712343478732600. Its totient is φ = 56563253893440.

The previous prime is 212112202102123. The next prime is 212112202102259. The reversal of 212112202102200 is 2201202211212.

It is a happy number.

212112202102200 is a `hidden beast` number, since 2 + 1 + 2 + 11 + 220 + 210 + 220 + 0 = 666.

212112202102200 is digitally balanced in base 2 and base 4, because in such bases 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 (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 58920054340 + ... + 58920057939.

Almost surely, 2^{212112202102200} is an apocalyptic number.

212112202102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112202102200 is an abundant number, since it is smaller than the sum of its proper divisors (500231276630400).

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

212112202102200 is a wasteful number, since it uses less digits than its factorization.

212112202102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117840112301 (or 117840112289 counting only the distinct ones).

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

Adding to 212112202102200 its reverse (2201202211212), we get a palindrome (214313404313412).

The spelling of 212112202102200 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred two million, one hundred two thousand, two hundred".