105220240214213 has 2 divisors, whose sum is σ = 105220240214214. Its totient is φ = 105220240214212.

The previous prime is 105220240214207. The next prime is 105220240214263. The reversal of 105220240214213 is 312412042022501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99166982060644 + 6053258153569 = 9958262^2 + 2460337^2 .

It is a cyclic number.

It is not a de Polignac number, because 105220240214213 - 2²⁰ = 105220239165637 is a prime.

It is a super-2 number, since 2×105220240214213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105220240214263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52610120107106 + 52610120107107.

It is an arithmetic number, because the mean of its divisors is an integer number (52610120107107).

Almost surely, 2^{105220240214213} is an apocalyptic number.

It is an amenable number.

105220240214213 is a deficient number, since it is larger than the sum of its proper divisors (1).

105220240214213 is an equidigital number, since it uses as much as digits as its factorization.

105220240214213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 105220240214213 its reverse (312412042022501), we get a palindrome (417632282236714).

The spelling of 105220240214213 in words is "one hundred five trillion, two hundred twenty billion, two hundred forty million, two hundred fourteen thousand, two hundred thirteen".