11101101000101 has 32 divisors (see below), whose sum is σ = 12950378465280. Its totient is φ = 9318942426816.

The previous prime is 11101101000089. The next prime is 11101101000127. The reversal of 11101101000101 is 10100010110111.

It is a cyclic number.

It is not a de Polignac number, because 11101101000101 - 2²² = 11101096805797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101101000161) 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, 134898770 + ... + 134981036.

It is an arithmetic number, because the mean of its divisors is an integer number (404699327040).

Almost surely, 2^{11101101000101} is an apocalyptic number.

It is an amenable number.

11101101000101 is a deficient number, since it is larger than the sum of its proper divisors (1849277465179).

11101101000101 is an equidigital number, since it uses as much as digits as its factorization.

11101101000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83553.

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

Adding to 11101101000101 its reverse (10100010110111), we get a palindrome (21201111110212).

The spelling of 11101101000101 in words is "eleven trillion, one hundred one billion, one hundred one million, one hundred one", and thus it is an aban number.