11101122232401 has 16 divisors (see below), whose sum is σ = 15582740230400. Its totient is φ = 7010237084688.

The previous prime is 11101122232379. The next prime is 11101122232423. The reversal of 11101122232401 is 10423222110111.

It is an interprime number because it is at equal distance from previous prime (11101122232379) and next prime (11101122232423).

It is not a de Polignac number, because 11101122232401 - 2¹⁵ = 11101122199633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11101122233401) 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 15 ways as a sum of consecutive naturals, for example, 13457191 + ... + 14258268.

It is an arithmetic number, because the mean of its divisors is an integer number (973921264400).

Almost surely, 2^{11101122232401} is an apocalyptic number.

It is an amenable number.

11101122232401 is a deficient number, since it is larger than the sum of its proper divisors (4481617997999).

11101122232401 is a wasteful number, since it uses less digits than its factorization.

11101122232401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27722508.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 11101122232401 its reverse (10423222110111), we get a palindrome (21524344342512).

The spelling of 11101122232401 in words is "eleven trillion, one hundred one billion, one hundred twenty-two million, two hundred thirty-two thousand, four hundred one".