110111011110001 has 6 divisors (see below), whose sum is σ = 121031111385506. Its totient is φ = 100100919190800.

The previous prime is 110111011109999. The next prime is 110111011110029. The reversal of 110111011110001 is 100011110111011.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 102531319350625 + 7579691759376 = 10125775^2 + 2753124^2 .

It is not a de Polignac number, because 110111011110001 - 2¹ = 110111011109999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110111011110001.

It is not an unprimeable number, because it can be changed into a prime (110111011110071) 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, 455004178020 + ... + 455004178261.

Almost surely, 2^{110111011110001} is an apocalyptic number.

110111011110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110111011110001 is a deficient number, since it is larger than the sum of its proper divisors (10920100275505).

110111011110001 is an equidigital number, since it uses as much as digits as its factorization.

110111011110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910008356303 (or 910008356292 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 110111011110001 its reverse (100011110111011), we get a palindrome (210122121221012).

It can be divided in two parts, 110 and 111011110001, that added together give a palindrome (111011110111).

The spelling of 110111011110001 in words is "one hundred ten trillion, one hundred eleven billion, eleven million, one hundred ten thousand, one".