101001101100111 has 24 divisors (see below), whose sum is σ = 159798902356080. Its totient is φ = 61187955768576.

The previous prime is 101001101100103. The next prime is 101001101100161. The reversal of 101001101100111 is 111001101100101.

It is not a de Polignac number, because 101001101100111 - 2³ = 101001101100103 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 = 101001101100093 and 101001101100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001101100161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11381683765 + ... + 11381692638.

It is an arithmetic number, because the mean of its divisors is an integer number (6658287598170).

Almost surely, 2^{101001101100111} is an apocalyptic number.

101001101100111 is a deficient number, since it is larger than the sum of its proper divisors (58797801255969).

101001101100111 is a wasteful number, since it uses less digits than its factorization.

101001101100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22763376455 (or 22763376452 counting only the distinct ones).

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

Adding to 101001101100111 its reverse (111001101100101), we get a palindrome (212002202200212).

The spelling of 101001101100111 in words is "one hundred one trillion, one billion, one hundred one million, one hundred thousand, one hundred eleven".