2122111100413 has 2 divisors, whose sum is σ = 2122111100414. Its totient is φ = 2122111100412.

The previous prime is 2122111100411. The next prime is 2122111100429. The reversal of 2122111100413 is 3140011112212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2100566144889 + 21544955524 = 1449333^2 + 146782^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122111100413 - 2¹ = 2122111100411 is a prime.

Together with 2122111100411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122111100411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061055550206 + 1061055550207.

It is an arithmetic number, because the mean of its divisors is an integer number (1061055550207).

Almost surely, 2^{2122111100413} is an apocalyptic number.

It is an amenable number.

2122111100413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122111100413 is an equidigital number, since it uses as much as digits as its factorization.

2122111100413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 2122111100413 its reverse (3140011112212), we get a palindrome (5262122212625).

The spelling of 2122111100413 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, one hundred thousand, four hundred thirteen".