1101211133220 has 288 divisors, whose sum is σ = 3745216500480. Its totient is φ = 259556244480.

The previous prime is 1101211133219. The next prime is 1101211133237. The reversal of 1101211133220 is 223311121011.

1101211133220 is a `hidden beast` number, since 1 + 101 + 211 + 1 + 332 + 20 = 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 = 1101211133193 and 1101211133202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118163721 + ... + 118173039.

It is an arithmetic number, because the mean of its divisors is an integer number (13004223960).

Almost surely, 2^{1101211133220} is an apocalyptic number.

1101211133220 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 1101211133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872608250240).

1101211133220 is an abundant number, since it is smaller than the sum of its proper divisors (2644005367260).

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

1101211133220 is a wasteful number, since it uses less digits than its factorization.

1101211133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10995 (or 10990 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1101211133220 its reverse (223311121011), we get a palindrome (1324522254231).

The spelling of 1101211133220 in words is "one trillion, one hundred one billion, two hundred eleven million, one hundred thirty-three thousand, two hundred twenty".