100221727 has 2 divisors, whose sum is σ = 100221728. Its totient is φ = 100221726.

The previous prime is 100221689. The next prime is 100221731. The reversal of 100221727 is 727122001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100221727 - 2¹⁹ = 99697439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100221698 and 100221707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110863 + 50110864.

It is an arithmetic number, because the mean of its divisors is an integer number (50110864).

Almost surely, 2^100221727 is an apocalyptic number.

100221727 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221727 is an equidigital number, since it uses as much as digits as its factorization.

100221727 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 100221727 is about 10011.0802114457. The cubic root of 100221727 is about 464.5016853136.

Adding to 100221727 its reverse (727122001), we get a palindrome (827343728).

The spelling of 100221727 in words is "one hundred million, two hundred twenty-one thousand, seven hundred twenty-seven".