11100100111101 has 12 divisors (see below), whose sum is σ = 16135602003612. Its totient is φ = 7352932556736.

The previous prime is 11100100111081. The next prime is 11100100111117. The reversal of 11100100111101 is 10111100100111.

It can be written as a sum of positive squares in 2 ways, for example, as 6066812348100 + 5033287763001 = 2463090^2 + 2243499^2 .

It is not a de Polignac number, because 11100100111101 - 2²³ = 11100091722493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100100110101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3927847176 + ... + 3927850001.

It is an arithmetic number, because the mean of its divisors is an integer number (1344633500301).

Almost surely, 2^{11100100111101} is an apocalyptic number.

It is an amenable number.

11100100111101 is a deficient number, since it is larger than the sum of its proper divisors (5035501892511).

11100100111101 is a wasteful number, since it uses less digits than its factorization.

11100100111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7855697340 (or 7855697337 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11100100111101 its reverse (10111100100111), we get a palindrome (21211200211212).

It can be divided in two parts, 11100100111 and 101, that multiplied together give a palindrome (1121110111211).

The spelling of 11100100111101 in words is "eleven trillion, one hundred billion, one hundred million, one hundred eleven thousand, one hundred one".