1121220211100 has 288 divisors, whose sum is σ = 2812320000000. Its totient is φ = 384230246400.

The previous prime is 1121220211091. The next prime is 1121220211123. The reversal of 1121220211100 is 11120221211.

It is a congruent number.

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, 224286401 + ... + 224291399.

It is an arithmetic number, because the mean of its divisors is an integer number (9765000000).

Almost surely, 2^{1121220211100} is an apocalyptic number.

1121220211100 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 1121220211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406160000000).

1121220211100 is an abundant number, since it is smaller than the sum of its proper divisors (1691099788900).

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

1121220211100 is a wasteful number, since it uses less digits than its factorization.

1121220211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5221 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1121220211100 its reverse (11120221211), we get a palindrome (1132340432311).

The spelling of 1121220211100 in words is "one trillion, one hundred twenty-one billion, two hundred twenty million, two hundred eleven thousand, one hundred".