101101001100111 has 12 divisors (see below), whose sum is σ = 146262602743920. Its totient is φ = 67295518149120.

The previous prime is 101101001100101. The next prime is 101101001100139. The reversal of 101101001100111 is 111001100101101.

It is not a de Polignac number, because 101101001100111 - 2¹³ = 101101001091919 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 = 101101001100093 and 101101001100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101001100101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8762431491 + ... + 8762443028.

It is an arithmetic number, because the mean of its divisors is an integer number (12188550228660).

Almost surely, 2^{101101001100111} is an apocalyptic number.

101101001100111 is a deficient number, since it is larger than the sum of its proper divisors (45161601643809).

101101001100111 is a wasteful number, since it uses less digits than its factorization.

101101001100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17524875166 (or 17524875163 counting only the distinct ones).

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

Adding to 101101001100111 its reverse (111001100101101), we get a palindrome (212102101201212).

The spelling of 101101001100111 in words is "one hundred one trillion, one hundred one billion, one million, one hundred thousand, one hundred eleven".