111010111100001 has 12 divisors (see below), whose sum is σ = 164681666317012. Its totient is φ = 72006558551136.

The previous prime is 111010111099969. The next prime is 111010111100003. The reversal of 111010111100001 is 100001111010111.

It can be written as a sum of positive squares in 2 ways, for example, as 86900056880400 + 24110054219601 = 9322020^2 + 4910199^2 .

It is not a de Polignac number, because 111010111100001 - 2⁵ = 111010111099969 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111010111100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166681848166 + ... + 166681848831.

Almost surely, 2^{111010111100001} is an apocalyptic number.

It is an amenable number.

111010111100001 is a deficient number, since it is larger than the sum of its proper divisors (53671555217011).

111010111100001 is a wasteful number, since it uses less digits than its factorization.

111010111100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333363697040 (or 333363697037 counting only the distinct ones).

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

Adding to 111010111100001 its reverse (100001111010111), we get a palindrome (211011222110112).

It can be divided in two parts, 111010111 and 100001, that multiplied together give a palindrome (11101122110111).

The spelling of 111010111100001 in words is "one hundred eleven trillion, ten billion, one hundred eleven million, one hundred thousand, one".