11010022120 has 64 divisors (see below), whose sum is σ = 26489624400. Its totient is φ = 4103884800.

The previous prime is 11010022109. The next prime is 11010022139. The reversal of 11010022120 is 2122001011.

11010022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9220224484 + 1789797636 = 96022^2 + 42306^2 .

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 = 11010022097 and 11010022106.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11475 + ... + 148834.

Almost surely, 2^11010022120 is an apocalyptic number.

11010022120 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 11010022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13244812200).

11010022120 is an abundant number, since it is smaller than the sum of its proper divisors (15479602280).

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

11010022120 is a wasteful number, since it uses less digits than its factorization.

11010022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160438 (or 160434 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11010022120 its reverse (2122001011), we get a palindrome (13132023131).

The spelling of 11010022120 in words is "eleven billion, ten million, twenty-two thousand, one hundred twenty".