110111101100001 has 6 divisors (see below), whose sum is σ = 159049368255570. Its totient is φ = 73407400733328.

The previous prime is 110111101099969. The next prime is 110111101100053. The reversal of 110111101100001 is 100001101111011.

It can be written as a sum of positive squares in only one way, i.e., 68693844830625 + 41417256269376 = 8288175^2 + 6435624^2 .

It is not a de Polignac number, because 110111101100001 - 2⁵ = 110111101099969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 12234566788889 = 110111101100001 / (1 + 1 + 0 + 1 + 1 + 1 + 1 + 0 + 1 + 1 + 0 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (110111101100801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6117283394436 + ... + 6117283394453.

It is an arithmetic number, because the mean of its divisors is an integer number (26508228042595).

Almost surely, 2^{110111101100001} is an apocalyptic number.

It is an amenable number.

110111101100001 is a deficient number, since it is larger than the sum of its proper divisors (48938267155569).

110111101100001 is a wasteful number, since it uses less digits than its factorization.

110111101100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12234566788895 (or 12234566788892 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 110111101100001 its reverse (100001101111011), we get a palindrome (210112202211012).

The spelling of 110111101100001 in words is "one hundred ten trillion, one hundred eleven billion, one hundred one million, one hundred thousand, one".