100133211 has 32 divisors (see below), whose sum is σ = 146406400. Its totient is φ = 60652800.

The previous prime is 100133203. The next prime is 100133219. The reversal of 100133211 is 112331001.

It is an interprime number because it is at equal distance from previous prime (100133203) and next prime (100133219).

It is not a de Polignac number, because 100133211 - 2³ = 100133203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100133219) 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 in 31 ways as a sum of consecutive naturals, for example, 166311 + ... + 166911.

It is an arithmetic number, because the mean of its divisors is an integer number (4575200).

Almost surely, 2^100133211 is an apocalyptic number.

100133211 is a deficient number, since it is larger than the sum of its proper divisors (46273189).

100133211 is a wasteful number, since it uses less digits than its factorization.

100133211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 100133211 is about 10006.6583333299. The cubic root of 100133211 is about 464.3648954748.

Adding to 100133211 its reverse (112331001), we get a palindrome (212464212).

The spelling of 100133211 in words is "one hundred million, one hundred thirty-three thousand, two hundred eleven".