11101122201220 has 192 divisors, whose sum is σ = 24550464960000. Its totient is φ = 4213449031680.

The previous prime is 11101122201193. The next prime is 11101122201227. The reversal of 11101122201220 is 2210222110111.

It is a junction number, because it is equal to n+sod(n) for n = 11101122201194 and 11101122201203.

It is not an unprimeable number, because it can be changed into a prime (11101122201227) 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 63 ways as a sum of consecutive naturals, for example, 837877156 + ... + 837890404.

It is an arithmetic number, because the mean of its divisors is an integer number (127867005000).

Almost surely, 2^{11101122201220} is an apocalyptic number.

11101122201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101122201220 is an abundant number, since it is smaller than the sum of its proper divisors (13449342758780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11101122201220 is a wasteful number, since it uses less digits than its factorization.

11101122201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13598 (or 13596 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11101122201220 its reverse (2210222110111), we get a palindrome (13311344311331).

The spelling of 11101122201220 in words is "eleven trillion, one hundred one billion, one hundred twenty-two million, two hundred one thousand, two hundred twenty".