111000010100001 has 32 divisors (see below), whose sum is σ = 166010340077568. Its totient is φ = 65378705423040.

The previous prime is 111000010099997. The next prime is 111000010100039. The reversal of 111000010100001 is 100001010000111.

It is not a de Polignac number, because 111000010100001 - 2² = 111000010099997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111000010100401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51616671 + ... + 53724116.

It is an arithmetic number, because the mean of its divisors is an integer number (5187823127424).

Almost surely, 2^{111000010100001} is an apocalyptic number.

111000010100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111000010100001 is a deficient number, since it is larger than the sum of its proper divisors (55010329977567).

111000010100001 is a wasteful number, since it uses less digits than its factorization.

111000010100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105341701.

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

Adding to 111000010100001 its reverse (100001010000111), we get a palindrome (211001020100112).

It can be divided in two parts, 11 and 1000010100001, that multiplied together give a palindrome (11000111100011).

The spelling of 111000010100001 in words is "one hundred eleven trillion, ten million, one hundred thousand, one".