212012002020100 has 36 divisors (see below), whose sum is σ = 460081731790800. Its totient is φ = 84801909120160.

The previous prime is 212012002020079. The next prime is 212012002020101. The reversal of 212012002020100 is 1020200210212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (212012002020101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33197530 + ... + 39065329.

It is an arithmetic number, because the mean of its divisors is an integer number (12780048105300).

Almost surely, 2^{212012002020100} is an apocalyptic number.

212012002020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012002020100 is an abundant number, since it is smaller than the sum of its proper divisors (248069729770700).

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

212012002020100 is a wasteful number, since it uses less digits than its factorization.

212012002020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72292212 (or 72292205 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212012002020100 its reverse (1020200210212), we get a palindrome (213032202230312).

The spelling of 212012002020100 in words is "two hundred twelve trillion, twelve billion, two million, twenty thousand, one hundred".