10110110011001 has 32 divisors (see below), whose sum is σ = 13598525058048. Its totient is φ = 7259090264640.

The previous prime is 10110110010863. The next prime is 10110110011103. The reversal of 10110110011001 is 10011001101101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10110110011001 is a prime.

10110110011001 is a modest number, since divided by 10011001 gives 101101 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 10110110011001.

It is not an unprimeable number, because it can be changed into a prime (10110110011601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8406251 + ... + 9533376.

It is an arithmetic number, because the mean of its divisors is an integer number (424953908064).

Almost surely, 2^{10110110011001} is an apocalyptic number.

10110110011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10110110011001 is a deficient number, since it is larger than the sum of its proper divisors (3488415047047).

10110110011001 is a wasteful number, since it uses less digits than its factorization.

10110110011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17940221.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10110110011001 its reverse (10011001101101), we get a palindrome (20121111112102).

It can be divided in two parts, 101101 and 10011001, that multiplied together give a palindrome (1012122212101).

The spelling of 10110110011001 in words is "ten trillion, one hundred ten billion, one hundred ten million, eleven thousand, one".