105217300211 has 2 divisors, whose sum is σ = 105217300212. Its totient is φ = 105217300210.

The previous prime is 105217300171. The next prime is 105217300213. The reversal of 105217300211 is 112003712501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105217300211 is a prime.

It is a super-2 number, since 2×105217300211² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 105217300213, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105217300213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52608650105 + 52608650106.

It is an arithmetic number, because the mean of its divisors is an integer number (52608650106).

Almost surely, 2^105217300211 is an apocalyptic number.

105217300211 is a deficient number, since it is larger than the sum of its proper divisors (1).

105217300211 is an equidigital number, since it uses as much as digits as its factorization.

105217300211 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 23.

The spelling of 105217300211 in words is "one hundred five billion, two hundred seventeen million, three hundred thousand, two hundred eleven".