1101100121205 has 256 divisors, whose sum is σ = 2230865971200. Its totient is φ = 461788594176.

The previous prime is 1101100121161. The next prime is 1101100121207. The reversal of 1101100121205 is 5021210011011.

It is not a de Polignac number, because 1101100121205 - 2¹⁰ = 1101100120181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101100121207) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 801965899 + ... + 801967271.

It is an arithmetic number, because the mean of its divisors is an integer number (8714320200).

Almost surely, 2^{1101100121205} is an apocalyptic number.

1101100121205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1101100121205 is an abundant number, since it is smaller than the sum of its proper divisors (1129765849995).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1101100121205 is a wasteful number, since it uses less digits than its factorization.

1101100121205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 1101100121205 its reverse (5021210011011), we get a palindrome (6122310132216).

The spelling of 1101100121205 in words is "one trillion, one hundred one billion, one hundred million, one hundred twenty-one thousand, two hundred five".