100011122221011 has 16 divisors (see below), whose sum is σ = 134535153947040. Its totient is φ = 66080646679040.

The previous prime is 100011122220983. The next prime is 100011122221019. The reversal of 100011122221011 is 110122221110001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100011122221011 - 2¹¹ = 100011122218963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100011122221019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976620 + ... + 14176601.

It is an arithmetic number, because the mean of its divisors is an integer number (8408447121690).

Almost surely, 2^{100011122221011} is an apocalyptic number.

100011122221011 is a deficient number, since it is larger than the sum of its proper divisors (34524031726029).

100011122221011 is a wasteful number, since it uses less digits than its factorization.

100011122221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15172806.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100011122221011 its reverse (110122221110001), we get a palindrome (210133343331012).

The spelling of 100011122221011 in words is "one hundred trillion, eleven billion, one hundred twenty-two million, two hundred twenty-one thousand, eleven".