100311221 has 2 divisors, whose sum is σ = 100311222. Its totient is φ = 100311220.

The previous prime is 100311209. The next prime is 100311223. The reversal of 100311221 is 122113001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52852900 + 47458321 = 7270^2 + 6889^2 .

It is a cyclic number.

It is not a de Polignac number, because 100311221 - 2¹⁴ = 100294837 is a prime.

Together with 100311223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100311223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50155610 + 50155611.

It is an arithmetic number, because the mean of its divisors is an integer number (50155611).

Almost surely, 2^100311221 is an apocalyptic number.

It is an amenable number.

100311221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100311221 is an equidigital number, since it uses as much as digits as its factorization.

100311221 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 100311221 is about 10015.5489614898. The cubic root of 100311221 is about 464.6399046656.

Adding to 100311221 its reverse (122113001), we get a palindrome (222424222).

The spelling of 100311221 in words is "one hundred million, three hundred eleven thousand, two hundred twenty-one".