1121101101101 has 4 divisors (see below), whose sum is σ = 1121109937500. Its totient is φ = 1121092264704.

The previous prime is 1121101101091. The next prime is 1121101101121. The reversal of 1121101101101 is 1011011011211.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 22231108201 + 1098869992900 = 149101^2 + 1048270^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1121101101101 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 (1121101101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4225076 + ... + 4482573.

It is an arithmetic number, because the mean of its divisors is an integer number (280277484375).

Almost surely, 2^{1121101101101} is an apocalyptic number.

It is an amenable number.

1121101101101 is a deficient number, since it is larger than the sum of its proper divisors (8836399).

1121101101101 is an equidigital number, since it uses as much as digits as its factorization.

1121101101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8836398.

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

Adding to 1121101101101 its reverse (1011011011211), we get a palindrome (2132112112312).

It can be divided in two parts, 112110110 and 1101, that added together give a palindrome (112111211).

The spelling of 1121101101101 in words is "one trillion, one hundred twenty-one billion, one hundred one million, one hundred one thousand, one hundred one".