1000010101101 has 16 divisors (see below), whose sum is σ = 1464193003008. Its totient is φ = 602053038000.

The previous prime is 1000010101091. The next prime is 1000010101133. The reversal of 1000010101101 is 1011010100001.

It is not a de Polignac number, because 1000010101101 - 2⁶ = 1000010101037 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000010101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000010101141) 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, 100337191 + ... + 100347156.

It is an arithmetic number, because the mean of its divisors is an integer number (91512062688).

Almost surely, 2^{1000010101101} is an apocalyptic number.

1000010101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000010101101 is a deficient number, since it is larger than the sum of its proper divisors (464182901907).

1000010101101 is a wasteful number, since it uses less digits than its factorization.

1000010101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200684512.

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

Adding to 1000010101101 its reverse (1011010100001), we get a palindrome (2011020201102).

It can be divided in two parts, 10000 and 10101101, that added together give a palindrome (10111101).

The spelling of 1000010101101 in words is "one trillion, ten million, one hundred one thousand, one hundred one".