101101101110001 has 48 divisors (see below), whose sum is σ = 149783361572416. Its totient is φ = 65678246903808.

The previous prime is 101101101109997. The next prime is 101101101110033. The reversal of 101101101110001 is 100011101101101.

It is not a de Polignac number, because 101101101110001 - 2² = 101101101109997 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101101112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300131670 + ... + 300468336.

Almost surely, 2^{101101101110001} is an apocalyptic number.

It is an amenable number.

101101101110001 is a deficient number, since it is larger than the sum of its proper divisors (48682260462415).

101101101110001 is a wasteful number, since it uses less digits than its factorization.

101101101110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338542 (or 338539 counting only the distinct ones).

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

Adding to 101101101110001 its reverse (100011101101101), we get a palindrome (201112202211102).

The spelling of 101101101110001 in words is "one hundred one trillion, one hundred one billion, one hundred one million, one hundred ten thousand, one".