110100100100001 has 8 divisors (see below), whose sum is σ = 160145600145504. Its totient is φ = 66727333393920.

The previous prime is 110100100099993. The next prime is 110100100100077. The reversal of 110100100100001 is 100001001001011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 110100100100001 - 2³ = 110100100099993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110100100107001) 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 7 ways as a sum of consecutive naturals, for example, 1668183334816 + ... + 1668183334881.

It is an arithmetic number, because the mean of its divisors is an integer number (20018200018188).

Almost surely, 2^{110100100100001} is an apocalyptic number.

110100100100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110100100100001 is a deficient number, since it is larger than the sum of its proper divisors (50045500045503).

110100100100001 is a wasteful number, since it uses less digits than its factorization.

110100100100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336366669711.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110100100100001 its reverse (100001001001011), we get a palindrome (210101101101012).

The spelling of 110100100100001 in words is "one hundred ten trillion, one hundred billion, one hundred million, one hundred thousand, one".