100442220111211 has 16 divisors (see below), whose sum is σ = 109595122882560. Its totient is φ = 91292950939680.

The previous prime is 100442220111197. The next prime is 100442220111217. The reversal of 100442220111211 is 112111022244001.

It is a cyclic number.

It is not a de Polignac number, because 100442220111211 - 2⁵ = 100442220111179 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100442220111217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2174662860 + ... + 2174709046.

It is an arithmetic number, because the mean of its divisors is an integer number (6849695180160).

Almost surely, 2^{100442220111211} is an apocalyptic number.

100442220111211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100442220111211 is a deficient number, since it is larger than the sum of its proper divisors (9152902771349).

100442220111211 is a wasteful number, since it uses less digits than its factorization.

100442220111211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81234.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 100442220111211 its reverse (112111022244001), we get a palindrome (212553242355212).

The spelling of 100442220111211 in words is "one hundred trillion, four hundred forty-two billion, two hundred twenty million, one hundred eleven thousand, two hundred eleven".