100133101 has 2 divisors, whose sum is σ = 100133102. Its totient is φ = 100133100.

The previous prime is 100133081. The next prime is 100133123. The reversal of 100133101 is 101331001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83722500 + 16410601 = 9150^2 + 4051^2 .

It is a cyclic number.

It is not a de Polignac number, because 100133101 - 2¹⁹ = 99608813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100133161) 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, 50066550 + 50066551.

It is an arithmetic number, because the mean of its divisors is an integer number (50066551).

Almost surely, 2^100133101 is an apocalyptic number.

It is an amenable number.

100133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133101 is an equidigital number, since it uses as much as digits as its factorization.

100133101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 100133101 is about 10006.6528369880. The cubic root of 100133101 is about 464.3647254341.

Adding to 100133101 its reverse (101331001), we get a palindrome (201464102).

The spelling of 100133101 in words is "one hundred million, one hundred thirty-three thousand, one hundred one".