2210100413 has 2 divisors, whose sum is σ = 2210100414. Its totient is φ = 2210100412.

The previous prime is 2210100377. The next prime is 2210100427. The reversal of 2210100413 is 3140010122.

It is an a-pointer prime, because the next prime (2210100427) can be obtained adding 2210100413 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2123182084 + 86918329 = 46078^2 + 9323^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210100413 - 2¹⁰ = 2210099389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210100433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105050206 + 1105050207.

It is an arithmetic number, because the mean of its divisors is an integer number (1105050207).

Almost surely, 2^2210100413 is an apocalyptic number.

It is an amenable number.

2210100413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210100413 is an equidigital number, since it uses as much as digits as its factorization.

2210100413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2210100413 is about 47011.7050637392. The cubic root of 2210100413 is about 1302.5787890049.

Adding to 2210100413 its reverse (3140010122), we get a palindrome (5350110535).

The spelling of 2210100413 in words is "two billion, two hundred ten million, one hundred thousand, four hundred thirteen".