2121121201013 has 2 divisors, whose sum is σ = 2121121201014. Its totient is φ = 2121121201012.

The previous prime is 2121121200973. The next prime is 2121121201021. The reversal of 2121121201013 is 3101021211212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1891510603684 + 229610597329 = 1375322^2 + 479177^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121121201013 - 2⁶ = 2121121200949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121121200982 and 2121121201000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121121201093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060560600506 + 1060560600507.

It is an arithmetic number, because the mean of its divisors is an integer number (1060560600507).

Almost surely, 2^{2121121201013} is an apocalyptic number.

It is an amenable number.

2121121201013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121121201013 is an equidigital number, since it uses as much as digits as its factorization.

2121121201013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 2121121201013 its reverse (3101021211212), we get a palindrome (5222142412225).

The spelling of 2121121201013 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred one thousand, thirteen".