110101100110001 has 64 divisors (see below), whose sum is σ = 149726163148800. Its totient is φ = 78177112416000.

The previous prime is 110101100109991. The next prime is 110101100110021. The reversal of 110101100110001 is 100011001101011.

It is not a de Polignac number, because 110101100110001 - 2⁴² = 105703053598897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110101100110021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450707270 + ... + 450951488.

It is an arithmetic number, because the mean of its divisors is an integer number (2339471299200).

Almost surely, 2^{110101100110001} is an apocalyptic number.

110101100110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110101100110001 is a deficient number, since it is larger than the sum of its proper divisors (39625063038799).

110101100110001 is a wasteful number, since it uses less digits than its factorization.

110101100110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250030.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110101100110001 its reverse (100011001101011), we get a palindrome (210112101211012).

The spelling of 110101100110001 in words is "one hundred ten trillion, one hundred one billion, one hundred million, one hundred ten thousand, one".