101100110111001 has 24 divisors (see below), whose sum is σ = 148917622426560. Its totient is φ = 66079543135200.

The previous prime is 101100110110997. The next prime is 101100110111051. The reversal of 101100110111001 is 100111011001101.

It is not a de Polignac number, because 101100110111001 - 2² = 101100110110997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101100110111051) 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, 441830130 + ... + 442058891.

It is an arithmetic number, because the mean of its divisors is an integer number (6204900934440).

Almost surely, 2^{101100110111001} is an apocalyptic number.

It is an amenable number.

101100110111001 is a deficient number, since it is larger than the sum of its proper divisors (47817512315559).

101100110111001 is a wasteful number, since it uses less digits than its factorization.

101100110111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883889277 (or 883889274 counting only the distinct ones).

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

Adding to 101100110111001 its reverse (100111011001101), we get a palindrome (201211121112102).

The spelling of 101100110111001 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one hundred eleven thousand, one".