110111011100001 has 48 divisors (see below), whose sum is σ = 164008986261120. Its totient is φ = 71134321824000.

The previous prime is 110111011099979. The next prime is 110111011100033. The reversal of 110111011100001 is 100001110111011.

It is not a de Polignac number, because 110111011100001 - 2⁶ = 110111011099937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (110111011100071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1787224485 + ... + 1787286093.

It is an arithmetic number, because the mean of its divisors is an integer number (3416853880440).

Almost surely, 2^{110111011100001} is an apocalyptic number.

It is an amenable number.

110111011100001 is a deficient number, since it is larger than the sum of its proper divisors (53897975161119).

110111011100001 is a wasteful number, since it uses less digits than its factorization.

110111011100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83286 (or 83283 counting only the distinct ones).

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

Adding to 110111011100001 its reverse (100001110111011), we get a palindrome (210112121211012).

It can be divided in two parts, 110111011 and 100001, that multiplied together give a palindrome (11011211211011).

The spelling of 110111011100001 in words is "one hundred ten trillion, one hundred eleven billion, eleven million, one hundred thousand, one".