111120112221001 has 24 divisors (see below), whose sum is σ = 121519684016280. Its totient is φ = 101554322688000.

The previous prime is 111120112220993. The next prime is 111120112221061. The reversal of 111120112221001 is 100122211021111.

It can be written as a sum of positive squares in 12 ways, for example, as 31421641461001 + 79698470760000 = 5605501^2 + 8927400^2 .

It is not a de Polignac number, because 111120112221001 - 2³ = 111120112220993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111120112221061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1313605015 + ... + 1313689603.

It is an arithmetic number, because the mean of its divisors is an integer number (5063320167345).

Almost surely, 2^{111120112221001} is an apocalyptic number.

It is an amenable number.

111120112221001 is a deficient number, since it is larger than the sum of its proper divisors (10399571795279).

111120112221001 is a wasteful number, since it uses less digits than its factorization.

111120112221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161677 (or 161664 counting only the distinct ones).

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

Adding to 111120112221001 its reverse (100122211021111), we get a palindrome (211242323242112).

The spelling of 111120112221001 in words is "one hundred eleven trillion, one hundred twenty billion, one hundred twelve million, two hundred twenty-one thousand, one".