1101221101101 has 32 divisors (see below), whose sum is σ = 1612596769920. Its totient is φ = 662912006400.

The previous prime is 1101221101087. The next prime is 1101221101159. The reversal of 1101221101101 is 1011011221011.

It is not a de Polignac number, because 1101221101101 - 2²¹ = 1101219003949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101221101181) 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 31 ways as a sum of consecutive naturals, for example, 3008431 + ... + 3354563.

It is an arithmetic number, because the mean of its divisors is an integer number (50393649060).

Almost surely, 2^{1101221101101} is an apocalyptic number.

1101221101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101221101101 is a deficient number, since it is larger than the sum of its proper divisors (511375668819).

1101221101101 is a wasteful number, since it uses less digits than its factorization.

1101221101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346797.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1101221101101 its reverse (1011011221011), we get a palindrome (2112232322112).

The spelling of 1101221101101 in words is "one trillion, one hundred one billion, two hundred twenty-one million, one hundred one thousand, one hundred one".