110011000100001 has 256 divisors, whose sum is σ = 211591786291200. Its totient is φ = 48999947673600.

The previous prime is 110011000099961. The next prime is 110011000100039. The reversal of 110011000100001 is 100001000110011.

It is not a de Polignac number, because 110011000100001 - 2¹¹ = 110011000097953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110011000100081) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 286585686 + ... + 286969296.

It is an arithmetic number, because the mean of its divisors is an integer number (826530415200).

Almost surely, 2^{110011000100001} is an apocalyptic number.

110011000100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110011000100001 is a deficient number, since it is larger than the sum of its proper divisors (101580786191199).

110011000100001 is a wasteful number, since it uses less digits than its factorization.

110011000100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383800.

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

Adding to 110011000100001 its reverse (100001000110011), we get a palindrome (210012000210012).

The spelling of 110011000100001 in words is "one hundred ten trillion, eleven billion, one hundred thousand, one".