1101121221101 has 40 divisors (see below), whose sum is σ = 1276366344000. Its totient is φ = 947299320000.

The previous prime is 1101121221043. The next prime is 1101121221119. The reversal of 1101121221101 is 1011221211011.

It is not a de Polignac number, because 1101121221101 - 2¹⁰ = 1101121220077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101121221001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 366916601 + ... + 366919601.

It is an arithmetic number, because the mean of its divisors is an integer number (31909158600).

Almost surely, 2^{1101121221101} is an apocalyptic number.

1101121221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101121221101 is a deficient number, since it is larger than the sum of its proper divisors (175245122899).

1101121221101 is an equidigital number, since it uses as much as digits as its factorization.

1101121221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1101121221101 its reverse (1011221211011), we get a palindrome (2112342432112).

It can be divided in two parts, 110 and 1121221101, that added together give a palindrome (1121221211).

The spelling of 1101121221101 in words is "one trillion, one hundred one billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred one".