110100100110001 has 16 divisors (see below), whose sum is σ = 110306056531968. Its totient is φ = 109894380037200.

The previous prime is 110100100109999. The next prime is 110100100110019. The reversal of 110100100110001 is 100011001001011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 110100100110001 - 2¹ = 110100100109999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110100100110101) 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 15 ways as a sum of consecutive naturals, for example, 6203862210 + ... + 6203879956.

It is an arithmetic number, because the mean of its divisors is an integer number (6894128533248).

Almost surely, 2^{110100100110001} is an apocalyptic number.

It is an amenable number.

110100100110001 is a deficient number, since it is larger than the sum of its proper divisors (205956421967).

110100100110001 is a wasteful number, since it uses less digits than its factorization.

110100100110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23772.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110100100110001 its reverse (100011001001011), we get a palindrome (210111101111012).

The spelling of 110100100110001 in words is "one hundred ten trillion, one hundred billion, one hundred million, one hundred ten thousand, one".