100111001101111 has 32 divisors (see below), whose sum is σ = 134620613503488. Its totient is φ = 71897639955840.

The previous prime is 100111001101099. The next prime is 100111001101141. The reversal of 100111001101111 is 111101100111001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100111001101111 - 2¹⁷ = 100111000970039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111001101141) 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 in 31 ways as a sum of consecutive naturals, for example, 75924441 + ... + 77231746.

It is an arithmetic number, because the mean of its divisors is an integer number (4206894171984).

Almost surely, 2^{100111001101111} is an apocalyptic number.

100111001101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111001101111 is a deficient number, since it is larger than the sum of its proper divisors (34509612402377).

100111001101111 is a wasteful number, since it uses less digits than its factorization.

100111001101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153156871.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100111001101111 its reverse (111101100111001), we get a palindrome (211212101212112).

The spelling of 100111001101111 in words is "one hundred trillion, one hundred eleven billion, one million, one hundred one thousand, one hundred eleven".