101111100000111 has 12 divisors (see below), whose sum is σ = 148524779661960. Its totient is φ = 66264901694640.

The previous prime is 101111100000103. The next prime is 101111100000199. The reversal of 101111100000111 is 111000001111101.

It is not a de Polignac number, because 101111100000111 - 2³ = 101111100000103 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 = 101111100000093 and 101111100000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111100000311) 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 11 ways as a sum of consecutive naturals, for example, 95208191560 + ... + 95208192621.

It is an arithmetic number, because the mean of its divisors is an integer number (12377064971830).

Almost surely, 2^{101111100000111} is an apocalyptic number.

101111100000111 is a deficient number, since it is larger than the sum of its proper divisors (47413679661849).

101111100000111 is a wasteful number, since it uses less digits than its factorization.

101111100000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190416384246 (or 190416384243 counting only the distinct ones).

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

Adding to 101111100000111 its reverse (111000001111101), we get a palindrome (212111101111212).

The spelling of 101111100000111 in words is "one hundred one trillion, one hundred eleven billion, one hundred million, one hundred eleven", and thus it is an aban number.