2121020121413 has 2 divisors, whose sum is σ = 2121020121414. Its totient is φ = 2121020121412.

The previous prime is 2121020121331. The next prime is 2121020121431. The reversal of 2121020121413 is 3141210201212.

Together with next prime (2121020121431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2005843373284 + 115176748129 = 1416278^2 + 339377^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121020121413 - 2²² = 2121015927109 is a prime.

It is a super-2 number, since 2×2121020121413² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121020121113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060510060706 + 1060510060707.

It is an arithmetic number, because the mean of its divisors is an integer number (1060510060707).

Almost surely, 2^{2121020121413} is an apocalyptic number.

It is an amenable number.

2121020121413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121020121413 is an equidigital number, since it uses as much as digits as its factorization.

2121020121413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 2121020121413 its reverse (3141210201212), we get a palindrome (5262230322625).

The spelling of 2121020121413 in words is "two trillion, one hundred twenty-one billion, twenty million, one hundred twenty-one thousand, four hundred thirteen".