212100102120200 has 192 divisors, whose sum is σ = 564814070478720. Its totient is φ = 72560991744000.

The previous prime is 212100102120073. The next prime is 212100102120211. The reversal of 212100102120200 is 2021201001212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1316550854 + ... + 1316711946.

It is an arithmetic number, because the mean of its divisors is an integer number (2941739950410).

Almost surely, 2^{212100102120200} is an apocalyptic number.

212100102120200 is a gapful number since it is divisible by the number (20) 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 212100102120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282407035239360).

212100102120200 is an abundant number, since it is smaller than the sum of its proper divisors (352713968358520).

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

212100102120200 is a wasteful number, since it uses less digits than its factorization.

212100102120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163168 (or 163159 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212100102120200 its reverse (2021201001212), we get a palindrome (214121303121412).

The spelling of 212100102120200 in words is "two hundred twelve trillion, one hundred billion, one hundred two million, one hundred twenty thousand, two hundred".