110100001100001 has 16 divisors (see below), whose sum is σ = 165667713255360. Its totient is φ = 64426332931520.

The previous prime is 110100001099993. The next prime is 110100001100003. The reversal of 110100001100001 is 100001100001011.

It is a cyclic number.

It is not a de Polignac number, because 110100001100001 - 2³ = 110100001099993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110100001100003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57523510590 + ... + 57523512503.

It is an arithmetic number, because the mean of its divisors is an integer number (10354232078460).

Almost surely, 2^{110100001100001} is an apocalyptic number.

110100001100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110100001100001 is a deficient number, since it is larger than the sum of its proper divisors (55567712155359).

110100001100001 is a wasteful number, since it uses less digits than its factorization.

110100001100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115047023136.

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

Adding to 110100001100001 its reverse (100001100001011), we get a palindrome (210101101101012).

The spelling of 110100001100001 in words is "one hundred ten trillion, one hundred billion, one million, one hundred thousand, one".