2121012012213 has 12 divisors (see below), whose sum is σ = 3063797533420. Its totient is φ = 1413955616256.

The previous prime is 2121012012209. The next prime is 2121012012269. The reversal of 2121012012213 is 3122102101212.

It can be written as a sum of positive squares in 2 ways, for example, as 468393778449 + 1652618233764 = 684393^2 + 1285542^2 .

It is not a de Polignac number, because 2121012012213 - 2² = 2121012012209 is a prime.

It is a super-2 number, since 2×2121012012213² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121012012283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4108798 + ... + 4596111.

Almost surely, 2^{2121012012213} is an apocalyptic number.

It is an amenable number.

2121012012213 is a deficient number, since it is larger than the sum of its proper divisors (942785521207).

2121012012213 is a wasteful number, since it uses less digits than its factorization.

2121012012213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8731988 (or 8731985 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2121012012213 its reverse (3122102101212), we get a palindrome (5243114113425).

The spelling of 2121012012213 in words is "two trillion, one hundred twenty-one billion, twelve million, twelve thousand, two hundred thirteen".