101111100111 has 36 divisors (see below), whose sum is σ = 175752603000. Its totient is φ = 55785427488.

The previous prime is 101111100109. The next prime is 101111100133. The reversal of 101111100111 is 111001111101.

It is not a de Polignac number, because 101111100111 - 2¹ = 101111100109 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 = 101111100093 and 101111100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111100151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3940261 + ... + 3965838.

It is an arithmetic number, because the mean of its divisors is an integer number (4882016750).

Almost surely, 2^101111100111 is an apocalyptic number.

101111100111 is a deficient number, since it is larger than the sum of its proper divisors (74641502889).

101111100111 is a wasteful number, since it uses less digits than its factorization.

101111100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7906148 (or 7906138 counting only the distinct ones).

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

Adding to 101111100111 its reverse (111001111101), we get a palindrome (212112211212).

The spelling of 101111100111 in words is "one hundred one billion, one hundred eleven million, one hundred thousand, one hundred eleven".