100011110111008 has 12 divisors (see below), whose sum is σ = 196896873031110. Its totient is φ = 50005555055488.

The previous prime is 100011110110939. The next prime is 100011110111009. The reversal of 100011110111008 is 800111011110001.

It can be written as a sum of positive squares in only one way, i.e., 86068443726864 + 13942666384144 = 9277308^2 + 3733988^2 .

It is a super-2 number, since 2×100011110111008² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100011110110982 and 100011110111000.

It is not an unprimeable number, because it can be changed into a prime (100011110111009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1562673595453 + ... + 1562673595516.

Almost surely, 2^{100011110111008} is an apocalyptic number.

It is an amenable number.

100011110111008 is a deficient number, since it is larger than the sum of its proper divisors (96885762920102).

100011110111008 is an equidigital number, since it uses as much as digits as its factorization.

100011110111008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125347190979 (or 3125347190971 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 100011110111008 its reverse (800111011110001), we get a palindrome (900122121221009).

The spelling of 100011110111008 in words is "one hundred trillion, eleven billion, one hundred ten million, one hundred eleven thousand, eight".