2012201122013 has 2 divisors, whose sum is σ = 2012201122014. Its totient is φ = 2012201122012.

The previous prime is 2012201121937. The next prime is 2012201122039. The reversal of 2012201122013 is 3102211022102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2004948385444 + 7252736569 = 1415962^2 + 85163^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012201122013 - 2³⁰ = 2011127380189 is a prime.

It is a super-2 number, since 2×2012201122013² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2012201121982 and 2012201122000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2012201122073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006100561006 + 1006100561007.

It is an arithmetic number, because the mean of its divisors is an integer number (1006100561007).

Almost surely, 2^{2012201122013} is an apocalyptic number.

It is an amenable number.

2012201122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012201122013 is an equidigital number, since it uses as much as digits as its factorization.

2012201122013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2012201122013 its reverse (3102211022102), we get a palindrome (5114412144115).

The spelling of 2012201122013 in words is "two trillion, twelve billion, two hundred one million, one hundred twenty-two thousand, thirteen".