11111121003301 has 24 divisors (see below), whose sum is σ = 13205428593408. Its totient is φ = 9260696520000.

The previous prime is 11111121003251. The next prime is 11111121003317. The reversal of 11111121003301 is 10330012111111.

It is not a de Polignac number, because 11111121003301 - 2⁹ = 11111121002789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111121003331) 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 23 ways as a sum of consecutive naturals, for example, 45007000 + ... + 45253201.

It is an arithmetic number, because the mean of its divisors is an integer number (550226191392).

Almost surely, 2^{11111121003301} is an apocalyptic number.

11111121003301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11111121003301 is a deficient number, since it is larger than the sum of its proper divisors (2094307590107).

11111121003301 is a wasteful number, since it uses less digits than its factorization.

11111121003301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90260281 (or 90260262 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 11111121003301 its reverse (10330012111111), we get a palindrome (21441133114412).

The spelling of 11111121003301 in words is "eleven trillion, one hundred eleven billion, one hundred twenty-one million, three thousand, three hundred one".