10001000101101 has 16 divisors (see below), whose sum is σ = 13343856615360. Its totient is φ = 6662739509120.

The previous prime is 10001000101061. The next prime is 10001000101109. The reversal of 10001000101101 is 10110100010001.

It is a cyclic number.

It is not a de Polignac number, because 10001000101101 - 2⁹ = 10001000100589 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10001000101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001000101109) 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, 40782811 + ... + 41027303.

It is an arithmetic number, because the mean of its divisors is an integer number (833991038460).

Almost surely, 2^{10001000101101} is an apocalyptic number.

It is an amenable number.

10001000101101 is a deficient number, since it is larger than the sum of its proper divisors (3342856514259).

10001000101101 is a wasteful number, since it uses less digits than its factorization.

10001000101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253836.

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

Adding to 10001000101101 its reverse (10110100010001), we get a palindrome (20111100111102).

The spelling of 10001000101101 in words is "ten trillion, one billion, one hundred one thousand, one hundred one".