212102100202120 has 64 divisors (see below), whose sum is σ = 477975075750720. Its totient is φ = 84708341278464.

The previous prime is 212102100202117. The next prime is 212102100202127. The reversal of 212102100202120 is 21202001201212.

It is a happy number.

212102100202120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212102100202094 and 212102100202103.

It is not an unprimeable number, because it can be changed into a prime (212102100202127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1021371019 + ... + 1021578661.

It is an arithmetic number, because the mean of its divisors is an integer number (7468360558605).

Almost surely, 2^{212102100202120} is an apocalyptic number.

212102100202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102100202120 is an abundant number, since it is smaller than the sum of its proper divisors (265872975548600).

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

212102100202120 is a wasteful number, since it uses less digits than its factorization.

212102100202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247414 (or 247410 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212102100202120 its reverse (21202001201212), we get a palindrome (233304101403332).

The spelling of 212102100202120 in words is "two hundred twelve trillion, one hundred two billion, one hundred million, two hundred two thousand, one hundred twenty".