11101101101012 has 48 divisors (see below), whose sum is σ = 21411655298880. Its totient is φ = 5003541946368.

The previous prime is 11101101100967. The next prime is 11101101101017. The reversal of 11101101101012 is 21010110110111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11101101100984 and 11101101101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101101101017) 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, 12214868 + ... + 13092180.

It is an arithmetic number, because the mean of its divisors is an integer number (446076152060).

Almost surely, 2^{11101101101012} is an apocalyptic number.

It is an amenable number.

11101101101012 is a deficient number, since it is larger than the sum of its proper divisors (10310554197868).

11101101101012 is a wasteful number, since it uses less digits than its factorization.

11101101101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883032 (or 883030 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 11101101101012 its reverse (21010110110111), we get a palindrome (32111211211123).

Subtracting 11101101101012 from its reverse (21010110110111), we obtain a palindrome (9909009009099).

It can be divided in two parts, 1110110 and 1101012, that added together give a palindrome (2211122).

The spelling of 11101101101012 in words is "eleven trillion, one hundred one billion, one hundred one million, one hundred one thousand, twelve".