11101000000101 has 16 divisors (see below), whose sum is σ = 16148678665728. Its totient is φ = 6727141465200.

The previous prime is 11101000000093. The next prime is 11101000000121. The reversal of 11101000000101 is 10100000010111.

It is not a de Polignac number, because 11101000000101 - 2³ = 11101000000093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11101000000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101000000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18127315 + ... + 18729696.

It is an arithmetic number, because the mean of its divisors is an integer number (1009292416608).

Almost surely, 2^{11101000000101} is an apocalyptic number.

11101000000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11101000000101 is a deficient number, since it is larger than the sum of its proper divisors (5047678665627).

11101000000101 is a wasteful number, since it uses less digits than its factorization.

11101000000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36866152.

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

Adding to 11101000000101 its reverse (10100000010111), we get a palindrome (21201000010212).

It can be divided in two parts, 11 and 101000000101, that multiplied together give a palindrome (1111000001111).

The spelling of 11101000000101 in words is "eleven trillion, one hundred one billion, one hundred one", and thus it is an aban number.