1100301331121 has 16 divisors (see below), whose sum is σ = 1166449849488. Its totient is φ = 1034311680000.

The previous prime is 1100301331117. The next prime is 1100301331123. The reversal of 1100301331121 is 1211331030011.

It can be written as a sum of positive squares in 8 ways, for example, as 185189072896 + 915112258225 = 430336^2 + 956615^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100301331121 - 2² = 1100301331117 is a prime.

It is a super-3 number, since 3×1100301331121³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1100301331121.

It is not an unprimeable number, because it can be changed into a prime (1100301331123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122237621 + ... + 122246621.

It is an arithmetic number, because the mean of its divisors is an integer number (72903115593).

Almost surely, 2^{1100301331121} is an apocalyptic number.

It is an amenable number.

1100301331121 is a deficient number, since it is larger than the sum of its proper divisors (66148518367).

1100301331121 is a wasteful number, since it uses less digits than its factorization.

1100301331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17012.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1100301331121 its reverse (1211331030011), we get a palindrome (2311632361132).

The spelling of 1100301331121 in words is "one trillion, one hundred billion, three hundred one million, three hundred thirty-one thousand, one hundred twenty-one".