1101100003121 has 8 divisors (see below), whose sum is σ = 1126530572904. Its totient is φ = 1075841844480.

The previous prime is 1101100003099. The next prime is 1101100003169. The reversal of 1101100003121 is 1213000011011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 524988642721 + 576111360400 = 724561^2 + 759020^2 .

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 1101100003121 - 2¹⁸ = 1101099740977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1101100003181) 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, 43089866 + ... + 43115411.

It is an arithmetic number, because the mean of its divisors is an integer number (140816321613).

Almost surely, 2^{1101100003121} is an apocalyptic number.

It is an amenable number.

1101100003121 is a deficient number, since it is larger than the sum of its proper divisors (25430569783).

1101100003121 is an equidigital number, since it uses as much as digits as its factorization.

1101100003121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86205571.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1101100003121 its reverse (1213000011011), we get a palindrome (2314100014132).

The spelling of 1101100003121 in words is "one trillion, one hundred one billion, one hundred million, three thousand, one hundred twenty-one".