100111101000111 has 24 divisors (see below), whose sum is σ = 146600246288496. Its totient is φ = 65819995908480.

The previous prime is 100111101000107. The next prime is 100111101000121. The reversal of 100111101000111 is 111000101111001.

It is not a de Polignac number, because 100111101000111 - 2² = 100111101000107 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 = 100111101000093 and 100111101000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111101000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819520 + ... + 14173701.

It is an arithmetic number, because the mean of its divisors is an integer number (6108343595354).

Almost surely, 2^{100111101000111} is an apocalyptic number.

100111101000111 is a deficient number, since it is larger than the sum of its proper divisors (46489145288385).

100111101000111 is a wasteful number, since it uses less digits than its factorization.

100111101000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15003463 (or 15003460 counting only the distinct ones).

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

Adding to 100111101000111 its reverse (111000101111001), we get a palindrome (211111202111112).

The spelling of 100111101000111 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred eleven", and thus it is an aban number.