110010110001 has 16 divisors (see below), whose sum is σ = 165532455360. Its totient is φ = 64373731520.

The previous prime is 110010109987. The next prime is 110010110039. The reversal of 110010110001 is 100011010011.

It is a cyclic number.

It is not a de Polignac number, because 110010110001 - 2⁵ = 110010109969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110010110051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57475590 + ... + 57477503.

It is an arithmetic number, because the mean of its divisors is an integer number (10345778460).

Almost surely, 2^110010110001 is an apocalyptic number.

110010110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110010110001 is a deficient number, since it is larger than the sum of its proper divisors (55522345359).

110010110001 is a wasteful number, since it uses less digits than its factorization.

110010110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114953136.

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

Adding to 110010110001 its reverse (100011010011), we get a palindrome (210021120012).

It can be divided in two parts, 1100 and 10110001, that added together give a palindrome (10111101).

The spelling of 110010110001 in words is "one hundred ten billion, ten million, one hundred ten thousand, one".