111001001000101 has 4 divisors (see below), whose sum is σ = 111188186499852. Its totient is φ = 110813815500352.

The previous prime is 111001001000083. The next prime is 111001001000213. The reversal of 111001001000101 is 101000100100111.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 31199474751201 + 79801526248900 = 5585649^2 + 8933170^2 .

It is a cyclic number.

It is not a de Polignac number, because 111001001000101 - 2¹⁷ = 111001000869029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001001000401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93592748986 + ... + 93592750171.

It is an arithmetic number, because the mean of its divisors is an integer number (27797046624963).

Almost surely, 2^{111001001000101} is an apocalyptic number.

It is an amenable number.

111001001000101 is a deficient number, since it is larger than the sum of its proper divisors (187185499751).

111001001000101 is an equidigital number, since it uses as much as digits as its factorization.

111001001000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187185499750.

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

Adding to 111001001000101 its reverse (101000100100111), we get a palindrome (212001101100212).

The spelling of 111001001000101 in words is "one hundred eleven trillion, one billion, one million, one hundred one", and thus it is an aban number.