100221133 has 2 divisors, whose sum is σ = 100221134. Its totient is φ = 100221132.

The previous prime is 100221131. The next prime is 100221139. The reversal of 100221133 is 331122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61121124 + 39100009 = 7818^2 + 6253^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221133 - 2¹ = 100221131 is a prime.

Together with 100221131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110566 + 50110567.

It is an arithmetic number, because the mean of its divisors is an integer number (50110567).

Almost surely, 2^100221133 is an apocalyptic number.

It is an amenable number.

100221133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221133 is an equidigital number, since it uses as much as digits as its factorization.

100221133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 100221133 is about 10011.0505442736. The cubic root of 100221133 is about 464.5007676332.

Adding to 100221133 its reverse (331122001), we get a palindrome (431343134).

The spelling of 100221133 in words is "one hundred million, two hundred twenty-one thousand, one hundred thirty-three".