1121001101101 has 8 divisors (see below), whose sum is σ = 1281200693120. Its totient is φ = 960815653488.

The previous prime is 1121001101047. The next prime is 1121001101161. The reversal of 1121001101101 is 1011011001211.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1121001101101 - 2²⁹ = 1120464230189 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 (1121001101161) 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 7 ways as a sum of consecutive naturals, for example, 3365721 + ... + 3683758.

It is an arithmetic number, because the mean of its divisors is an integer number (160150086640).

Almost surely, 2^{1121001101101} is an apocalyptic number.

It is an amenable number.

1121001101101 is a deficient number, since it is larger than the sum of its proper divisors (160199592019).

1121001101101 is an equidigital number, since it uses as much as digits as its factorization.

1121001101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072203.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1121001101101 its reverse (1011011001211), we get a palindrome (2132012102312).

It can be divided in two parts, 112100110 and 1101, that added together give a palindrome (112101211).

The spelling of 1121001101101 in words is "one trillion, one hundred twenty-one billion, one million, one hundred one thousand, one hundred one".