110100100111001 has 64 divisors (see below), whose sum is σ = 148208571334656. Its totient is φ = 78988406515200.

The previous prime is 110100100110967. The next prime is 110100100111007. The reversal of 110100100111001 is 100111001001011.

It is not a de Polignac number, because 110100100111001 - 2¹⁰ = 110100100109977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110100100111001.

It is not an unprimeable number, because it can be changed into a prime (110100100111007) 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 63 ways as a sum of consecutive naturals, for example, 1750284116 + ... + 1750347018.

It is an arithmetic number, because the mean of its divisors is an integer number (2315758927104).

Almost surely, 2^{110100100111001} is an apocalyptic number.

110100100111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110100100111001 is a deficient number, since it is larger than the sum of its proper divisors (38108471223655).

110100100111001 is a wasteful number, since it uses less digits than its factorization.

110100100111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67422.

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

Adding to 110100100111001 its reverse (100111001001011), we get a palindrome (210211101112012).

The spelling of 110100100111001 in words is "one hundred ten trillion, one hundred billion, one hundred million, one hundred eleven thousand, one".