110001011001001 has 16 divisors (see below), whose sum is σ = 111153572580096. Its totient is φ = 108854877846096.

The previous prime is 110001011000897. The next prime is 110001011001017. The reversal of 110001011001001 is 100100110100011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 110001011001001 - 2¹³ = 110001010992809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110001011001601) 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 15 ways as a sum of consecutive naturals, for example, 58254186 + ... + 60112828.

It is an arithmetic number, because the mean of its divisors is an integer number (6947098286256).

Almost surely, 2^{110001011001001} is an apocalyptic number.

It is an amenable number.

110001011001001 is a deficient number, since it is larger than the sum of its proper divisors (1152561579095).

110001011001001 is a wasteful number, since it uses less digits than its factorization.

110001011001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860372.

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

Adding to 110001011001001 its reverse (100100110100011), we get a palindrome (210101121101012).

The spelling of 110001011001001 in words is "one hundred ten trillion, one billion, eleven million, one thousand, one".