111120000201001 has 32 divisors (see below), whose sum is σ = 121773780311040. Its totient is φ = 100559354937600.

The previous prime is 111120000200929. The next prime is 111120000201011. The reversal of 111120000201001 is 100102000021111.

It is a cyclic number.

It is not a de Polignac number, because 111120000201001 - 2¹⁷ = 111120000069929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111120000201011) 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 31 ways as a sum of consecutive naturals, for example, 11482892775 + ... + 11482902451.

It is an arithmetic number, because the mean of its divisors is an integer number (3805430634720).

Almost surely, 2^{111120000201001} is an apocalyptic number.

111120000201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111120000201001 is a deficient number, since it is larger than the sum of its proper divisors (10653780110039).

111120000201001 is a wasteful number, since it uses less digits than its factorization.

111120000201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15105.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111120000201001 its reverse (100102000021111), we get a palindrome (211222000222112).

The spelling of 111120000201001 in words is "one hundred eleven trillion, one hundred twenty billion, two hundred one thousand, one".