110100101101001 has 32 divisors (see below), whose sum is σ = 128563223141376. Its totient is φ = 93176455680000.

The previous prime is 110100101100973. The next prime is 110100101101021. The reversal of 110100101101001 is 100101101001011.

It is not a de Polignac number, because 110100101101001 - 2⁶ = 110100101100937 is a prime.

It is a super-2 number, since 2×110100101101001² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110100101101001.

It is not an unprimeable number, because it can be changed into a prime (110100101101021) 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 31 ways as a sum of consecutive naturals, for example, 15775841 + ... + 21658193.

It is an arithmetic number, because the mean of its divisors is an integer number (4017600723168).

Almost surely, 2^{110100101101001} is an apocalyptic number.

110100101101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110100101101001 is a deficient number, since it is larger than the sum of its proper divisors (18463122040375).

110100101101001 is a wasteful number, since it uses less digits than its factorization.

110100101101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883473.

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

Adding to 110100101101001 its reverse (100101101001011), we get a palindrome (210201202102012).

The spelling of 110100101101001 in words is "one hundred ten trillion, one hundred billion, one hundred one million, one hundred one thousand, one".