111001121201 has 24 divisors (see below), whose sum is σ = 118648233000. Its totient is φ = 103709306624.

The previous prime is 111001121167. The next prime is 111001121239. The reversal of 111001121201 is 102121100111.

It can be written as a sum of positive squares in 4 ways, for example, as 3223514176 + 107777607025 = 56776^2 + 328295^2 .

It is not a de Polignac number, because 111001121201 - 2³⁰ = 109927379377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111001121701) 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, 5691695 + ... + 5711163.

It is an arithmetic number, because the mean of its divisors is an integer number (4943676375).

Almost surely, 2^111001121201 is an apocalyptic number.

It is an amenable number.

111001121201 is a deficient number, since it is larger than the sum of its proper divisors (7647111799).

111001121201 is an equidigital number, since it uses as much as digits as its factorization.

111001121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19681 (or 19634 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111001121201 its reverse (102121100111), we get a palindrome (213122221312).

The spelling of 111001121201 in words is "one hundred eleven billion, one million, one hundred twenty-one thousand, two hundred one".