100523221 has 2 divisors, whose sum is σ = 100523222. Its totient is φ = 100523220.

The previous prime is 100523147. The next prime is 100523233. The reversal of 100523221 is 122325001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50608996 + 49914225 = 7114^2 + 7065^2 .

It is an emirp because it is prime and its reverse (122325001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100523221 - 2¹¹ = 100521173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100523195 and 100523204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100523321) 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, 50261610 + 50261611.

It is an arithmetic number, because the mean of its divisors is an integer number (50261611).

Almost surely, 2^100523221 is an apocalyptic number.

It is an amenable number.

100523221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100523221 is an equidigital number, since it uses as much as digits as its factorization.

100523221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 100523221 is about 10026.1269192046. The cubic root of 100523221 is about 464.9670011654.

Adding to 100523221 its reverse (122325001), we get a palindrome (222848222).

The spelling of 100523221 in words is "one hundred million, five hundred twenty-three thousand, two hundred twenty-one".