100113322011 has 16 divisors (see below), whose sum is σ = 133833715200. Its totient is φ = 66567801888.

The previous prime is 100113322003. The next prime is 100113322027. The reversal of 100113322011 is 110223311001.

It is a happy number.

It is not a de Polignac number, because 100113322011 - 2³ = 100113322003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100113320011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1760160 + ... + 1816146.

It is an arithmetic number, because the mean of its divisors is an integer number (8364607200).

Almost surely, 2^100113322011 is an apocalyptic number.

100113322011 is a deficient number, since it is larger than the sum of its proper divisors (33720393189).

100113322011 is an equidigital number, since it uses as much as digits as its factorization.

100113322011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57538.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100113322011 its reverse (110223311001), we get a palindrome (210336633012).

The spelling of 100113322011 in words is "one hundred billion, one hundred thirteen million, three hundred twenty-two thousand, eleven".