111100100001001 has 8 divisors (see below), whose sum is σ = 114945346499400. Its totient is φ = 107255800740480.

The previous prime is 111100100000993. The next prime is 111100100001019. The reversal of 111100100001001 is 100100001001111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15370704461401 + 95729395539600 = 3920549^2 + 9784140^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 111100100001001 - 2³ = 111100100000993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111100100001041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236570830 + ... + 237039991.

It is an arithmetic number, because the mean of its divisors is an integer number (14368168312425).

Almost surely, 2^{111100100001001} is an apocalyptic number.

It is an amenable number.

111100100001001 is a deficient number, since it is larger than the sum of its proper divisors (3845246498399).

111100100001001 is an equidigital number, since it uses as much as digits as its factorization.

111100100001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473618939.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 111100100001001 its reverse (100100001001111), we get a palindrome (211200101002112).

It can be divided in two parts, 111 and 100100001001, that multiplied together give a palindrome (11111100111111).

The spelling of 111100100001001 in words is "one hundred eleven trillion, one hundred billion, one hundred million, one thousand, one".