100133221 has 2 divisors, whose sum is σ = 100133222. Its totient is φ = 100133220.

The previous prime is 100133219. The next prime is 100133261. The reversal of 100133221 is 122331001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97792321 + 2340900 = 9889^2 + 1530^2 .

It is a cyclic number.

It is not a de Polignac number, because 100133221 - 2¹ = 100133219 is a prime.

Together with 100133219, 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 (100133261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066610 + 50066611.

It is an arithmetic number, because the mean of its divisors is an integer number (50066611).

Almost surely, 2^100133221 is an apocalyptic number.

It is an amenable number.

100133221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133221 is an equidigital number, since it uses as much as digits as its factorization.

100133221 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 100133221 is about 10006.6588329972. The cubic root of 100133221 is about 464.3649109330.

Adding to 100133221 its reverse (122331001), we get a palindrome (222464222).

The spelling of 100133221 in words is "one hundred million, one hundred thirty-three thousand, two hundred twenty-one".