2112121211213 has 32 divisors (see below), whose sum is σ = 2467924835040. Its totient is φ = 1789635133440.

The previous prime is 2112121211209. The next prime is 2112121211219. The reversal of 2112121211213 is 3121121212112.

It can be written as a sum of positive squares in 16 ways, for example, as 274217700964 + 1837903510249 = 523658^2 + 1355693^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112121211213 - 2² = 2112121211209 is a prime.

It is a super-2 number, since 2×2112121211213² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112121211219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29475893 + ... + 29547461.

It is an arithmetic number, because the mean of its divisors is an integer number (77122651095).

Almost surely, 2^{2112121211213} is an apocalyptic number.

It is an amenable number.

2112121211213 is a deficient number, since it is larger than the sum of its proper divisors (355803623827).

2112121211213 is a wasteful number, since it uses less digits than its factorization.

2112121211213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74897.

The product of its digits is 96, while the sum is 20.

Adding to 2112121211213 its reverse (3121121212112), we get a palindrome (5233242423325).

The spelling of 2112121211213 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, two hundred eleven thousand, two hundred thirteen".