212120212201020 has 72 divisors (see below), whose sum is σ = 659124756959760. Its totient is φ = 55185746261760.

The previous prime is 212120212200977. The next prime is 212120212201031. The reversal of 212120212201020 is 20102212021212.

It is a happy number.

212120212201020 is a `hidden beast` number, since 21 + 212 + 0 + 212 + 201 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212120212200984 and 212120212201002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14371280710 + ... + 14371295469.

It is an arithmetic number, because the mean of its divisors is an integer number (9154510513330).

Almost surely, 2^{212120212201020} is an apocalyptic number.

212120212201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120212201020 is an abundant number, since it is smaller than the sum of its proper divisors (447004544758740).

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

212120212201020 is a wasteful number, since it uses less digits than its factorization.

212120212201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28742576235 (or 28742576230 counting only the distinct ones).

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

Adding to 212120212201020 its reverse (20102212021212), we get a palindrome (232222424222232).

The spelling of 212120212201020 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred twelve million, two hundred one thousand, twenty".