11101122212220 has 216 divisors, whose sum is σ = 34733691335616. Its totient is φ = 2867835995136.

The previous prime is 11101122212207. The next prime is 11101122212221. The reversal of 11101122212220 is 2221222110111.

11101122212220 is a `hidden beast` number, since 1 + 110 + 1 + 122 + 212 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11101122212193 and 11101122212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101122212221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 361549389 + ... + 361580091.

Almost surely, 2^{11101122212220} is an apocalyptic number.

11101122212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101122212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366845667808).

11101122212220 is an abundant number, since it is smaller than the sum of its proper divisors (23632569123396).

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

11101122212220 is a wasteful number, since it uses less digits than its factorization.

11101122212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31221 (or 30983 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11101122212220 its reverse (2221222110111), we get a palindrome (13322344322331).

The spelling of 11101122212220 in words is "eleven trillion, one hundred one billion, one hundred twenty-two million, two hundred twelve thousand, two hundred twenty".