100111101100011 has 48 divisors (see below), whose sum is σ = 150657583396320. Its totient is φ = 64002928803840.

The previous prime is 100111101099979. The next prime is 100111101100027. The reversal of 100111101100011 is 110001101111001.

It is not a de Polignac number, because 100111101100011 - 2⁵ = 100111101099979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100111101099966 and 100111101100002.

It is not an unprimeable number, because it can be changed into a prime (100111101100111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223429675 + ... + 223877291.

It is an arithmetic number, because the mean of its divisors is an integer number (3138699654090).

Almost surely, 2^{100111101100011} is an apocalyptic number.

100111101100011 is a deficient number, since it is larger than the sum of its proper divisors (50546482296309).

100111101100011 is a wasteful number, since it uses less digits than its factorization.

100111101100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457996 (or 457993 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100111101100011 its reverse (110001101111001), we get a palindrome (210112202211012).

The spelling of 100111101100011 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred thousand, eleven".