100133101211 has 64 divisors (see below), whose sum is σ = 123251466240. Its totient is φ = 80767209600.

The previous prime is 100133101181. The next prime is 100133101217. The reversal of 100133101211 is 112101331001.

It is a happy number.

It is not a de Polignac number, because 100133101211 - 2¹⁰ = 100133100187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100133101217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216269966 + ... + 216270428.

It is an arithmetic number, because the mean of its divisors is an integer number (1925804160).

Almost surely, 2^100133101211 is an apocalyptic number.

100133101211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100133101211 is a deficient number, since it is larger than the sum of its proper divisors (23118365029).

100133101211 is a wasteful number, since it uses less digits than its factorization.

100133101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100133101211 its reverse (112101331001), we get a palindrome (212234432212).

The spelling of 100133101211 in words is "one hundred billion, one hundred thirty-three million, one hundred one thousand, two hundred eleven".