100133167 has 2 divisors, whose sum is σ = 100133168. Its totient is φ = 100133166.

The previous prime is 100133161. The next prime is 100133183. The reversal of 100133167 is 761331001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100133167 is a prime.

It is a super-2 number, since 2×100133167² = 20053302266899778, which contains 22 as substring.

It is a Chen 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, 50066583 + 50066584.

It is an arithmetic number, because the mean of its divisors is an integer number (50066584).

Almost surely, 2^100133167 is an apocalyptic number.

100133167 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133167 is an equidigital number, since it uses as much as digits as its factorization.

100133167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 100133167 is about 10006.6561347935. The cubic root of 100133167 is about 464.3648274585.

Adding to 100133167 its reverse (761331001), we get a palindrome (861464168).

The spelling of 100133167 in words is "one hundred million, one hundred thirty-three thousand, one hundred sixty-seven".