11021101120 has 56 divisors (see below), whose sum is σ = 26310406104. Its totient is φ = 4397285376.

The previous prime is 11021101099. The next prime is 11021101123. The reversal of 11021101120 is 2110112011.

It can be written as a sum of positive squares in 4 ways, for example, as 1731225664 + 9289875456 = 41608^2 + 96384^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11021101097 and 11021101106.

It is not an unprimeable number, because it can be changed into a prime (11021101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83664 + ... + 170416.

Almost surely, 2^11021101120 is an apocalyptic number.

11021101120 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 11021101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13155203052).

11021101120 is an abundant number, since it is smaller than the sum of its proper divisors (15289304984).

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

11021101120 is an equidigital number, since it uses as much as digits as its factorization.

11021101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87167 (or 87157 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11021101120 its reverse (2110112011), we get a palindrome (13131213131).

The spelling of 11021101120 in words is "eleven billion, twenty-one million, one hundred one thousand, one hundred twenty".