212002201020020 has 48 divisors (see below), whose sum is σ = 472545680075280. Its totient is φ = 79617452457984.

The previous prime is 212002201019977. The next prime is 212002201020047. The reversal of 212002201020020 is 20020102200212.

It can be written as a sum of positive squares in 8 ways, for example, as 73646124119824 + 138356076900196 = 8581732^2 + 11762486^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212002201019977 and 212002201020004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762129749 + ... + 762407868.

It is an arithmetic number, because the mean of its divisors is an integer number (9844701668235).

Almost surely, 2^{212002201020020} is an apocalyptic number.

212002201020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002201020020 is an abundant number, since it is smaller than the sum of its proper divisors (260543479055260).

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

212002201020020 is a wasteful number, since it uses less digits than its factorization.

212002201020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524538052 (or 1524538050 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212002201020020 its reverse (20020102200212), we get a palindrome (232022303220232).

The spelling of 212002201020020 in words is "two hundred twelve trillion, two billion, two hundred one million, twenty thousand, twenty".