111211001221001 has 64 divisors (see below), whose sum is σ = 132426347212800. Its totient is φ = 92255806137600.

The previous prime is 111211001220989. The next prime is 111211001221007. The reversal of 111211001221001 is 100122100112111.

It is not a de Polignac number, because 111211001221001 - 2¹⁰ = 111211001219977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111211001221007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13527669071 + ... + 13527677291.

It is an arithmetic number, because the mean of its divisors is an integer number (2069161675200).

Almost surely, 2^{111211001221001} is an apocalyptic number.

111211001221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111211001221001 is a deficient number, since it is larger than the sum of its proper divisors (21215345991799).

111211001221001 is a wasteful number, since it uses less digits than its factorization.

111211001221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13350.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 111211001221001 its reverse (100122100112111), we get a palindrome (211333101333112).

The spelling of 111211001221001 in words is "one hundred eleven trillion, two hundred eleven billion, one million, two hundred twenty-one thousand, one".