212102020013 has 8 divisors (see below), whose sum is σ = 228719311128. Its totient is φ = 195527836224.

The previous prime is 212102019991. The next prime is 212102020033. The reversal of 212102020013 is 310020201212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3219200644 + 208882819369 = 56738^2 + 457037^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212102020013 - 2⁶ = 212102019949 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212102020013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102020033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10766606 + ... + 10786287.

It is an arithmetic number, because the mean of its divisors is an integer number (28589913891).

Almost surely, 2^212102020013 is an apocalyptic number.

It is an amenable number.

212102020013 is a deficient number, since it is larger than the sum of its proper divisors (16617291115).

212102020013 is a wasteful number, since it uses less digits than its factorization.

212102020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21553663.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 212102020013 its reverse (310020201212), we get a palindrome (522122221225).

The spelling of 212102020013 in words is "two hundred twelve billion, one hundred two million, twenty thousand, thirteen".