102200202112212 has 36 divisors (see below), whose sum is σ = 273535835066676. Its totient is φ = 32062808505600.

The previous prime is 102200202112187. The next prime is 102200202112213. The reversal of 102200202112212 is 212211202002201.

It is a happy number.

102200202112212 is a `hidden beast` number, since 1 + 0 + 220 + 0 + 20 + 211 + 2 + 212 = 666.

102200202112212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 84031432261956 + 18168769850256 = 9166866^2 + 4262484^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (102200202112213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83496896539 + ... + 83496897762.

It is an arithmetic number, because the mean of its divisors is an integer number (7598217640741).

Almost surely, 2^{102200202112212} is an apocalyptic number.

102200202112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102200202112212 is an abundant number, since it is smaller than the sum of its proper divisors (171335632954464).

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

102200202112212 is a wasteful number, since it uses less digits than its factorization.

102200202112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166993794328 (or 166993794323 counting only the distinct ones).

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

Adding to 102200202112212 its reverse (212211202002201), we get a palindrome (314411404114413).

The spelling of 102200202112212 in words is "one hundred two trillion, two hundred billion, two hundred two million, one hundred twelve thousand, two hundred twelve".