100221689 has 2 divisors, whose sum is σ = 100221690. Its totient is φ = 100221688.

The previous prime is 100221643. The next prime is 100221727. The reversal of 100221689 is 986122001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83411689 + 16810000 = 9133^2 + 4100^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100221689 is a prime.

It is not a weakly prime, because it can be changed into another prime (100221629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110844 + 50110845.

It is an arithmetic number, because the mean of its divisors is an integer number (50110845).

Almost surely, 2^100221689 is an apocalyptic number.

It is an amenable number.

100221689 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221689 is an equidigital number, since it uses as much as digits as its factorization.

100221689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 100221689 is about 10011.0783135484. The cubic root of 100221689 is about 464.5016266069.

It can be divided in two parts, 10022 and 1689, that added together give a palindrome (11711).

The spelling of 100221689 in words is "one hundred million, two hundred twenty-one thousand, six hundred eighty-nine".