101100000111 has 48 divisors (see below), whose sum is σ = 151787618304. Its totient is φ = 59792040000.

The previous prime is 101100000107. The next prime is 101100000119. The reversal of 101100000111 is 111000001101.

It is not a de Polignac number, because 101100000111 - 2² = 101100000107 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101100000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100000119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2794186 + ... + 2830136.

It is an arithmetic number, because the mean of its divisors is an integer number (3162242048).

Almost surely, 2^101100000111 is an apocalyptic number.

101100000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101100000111 is a deficient number, since it is larger than the sum of its proper divisors (50687618193).

101100000111 is a wasteful number, since it uses less digits than its factorization.

101100000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36164 (or 36153 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101100000111 its reverse (111000001101), we get a palindrome (212100001212).

The spelling of 101100000111 in words is "one hundred one billion, one hundred million, one hundred eleven", and thus it is an aban number.