100221311 has 2 divisors, whose sum is σ = 100221312. Its totient is φ = 100221310.

The previous prime is 100221299. The next prime is 100221323. The reversal of 100221311 is 113122001.

It is a balanced prime because it is at equal distance from previous prime (100221299) and next prime (100221323).

It is an emirp because it is prime and its reverse (113122001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100221311 is a prime.

It is a super-2 number, since 2×100221311² = 20088622357117442, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100221292 and 100221301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110655 + 50110656.

It is an arithmetic number, because the mean of its divisors is an integer number (50110656).

Almost surely, 2^100221311 is an apocalyptic number.

100221311 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221311 is an equidigital number, since it uses as much as digits as its factorization.

100221311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 100221311 is about 10011.0594344455. The cubic root of 100221311 is about 464.5010426287.

Adding to 100221311 its reverse (113122001), we get a palindrome (213343312).

The spelling of 100221311 in words is "one hundred million, two hundred twenty-one thousand, three hundred eleven".