112110011001001 has 8 divisors (see below), whose sum is σ = 120733940244680. Its totient is φ = 103486093506432.

The previous prime is 112110011000989. The next prime is 112110011001031. The reversal of 112110011001001 is 100100110011211.

It can be written as a sum of positive squares in 4 ways, for example, as 2566596243600 + 109543414757401 = 1602060^2 + 10466299^2 .

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

It is not a de Polignac number, because 112110011001001 - 2⁵ = 112110011000969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112110011001031) 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, 35893171 + ... + 38891383.

It is an arithmetic number, because the mean of its divisors is an integer number (15091742530585).

Almost surely, 2^{112110011001001} is an apocalyptic number.

It is an amenable number.

112110011001001 is a deficient number, since it is larger than the sum of its proper divisors (8623929243679).

112110011001001 is a wasteful number, since it uses less digits than its factorization.

112110011001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5874555.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 112110011001001 its reverse (100100110011211), we get a palindrome (212210121012212).

The spelling of 112110011001001 in words is "one hundred twelve trillion, one hundred ten billion, eleven million, one thousand, one".