10110000001101 has 64 divisors (see below), whose sum is σ = 18588183914496. Its totient is φ = 4716926265600.

The previous prime is 10110000001093. The next prime is 10110000001117.

10110000001101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10110000001101 - 2³ = 10110000001093 is a prime.

10110000001101 is a strobogrammatic number because it is the same when read upside-down.

It is a self number, because there is not a number n which added to its sum of digits gives 10110000001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110000001501) 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 63 ways as a sum of consecutive naturals, for example, 45383935 + ... + 45606156.

It is an arithmetic number, because the mean of its divisors is an integer number (290440373664).

Almost surely, 2^{10110000001101} is an apocalyptic number.

10110000001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10110000001101 is a deficient number, since it is larger than the sum of its proper divisors (8478183913395).

10110000001101 is a wasteful number, since it uses less digits than its factorization.

10110000001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90990162.

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

It can be divided in two parts, 1011000000 and 1101, that added together give a palindrome (1011001101).

The spelling of 10110000001101 in words is "ten trillion, one hundred ten billion, one thousand, one hundred one".