11021020202112 has 128 divisors (see below), whose sum is σ = 30839248262400. Its totient is φ = 3477623362560.

The previous prime is 11021020202063. The next prime is 11021020202173. The reversal of 11021020202112 is 21120202012011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 11021020202091 and 11021020202100.

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, 8834103 + ... + 10004169.

It is an arithmetic number, because the mean of its divisors is an integer number (240931627050).

Almost surely, 2^{11021020202112} is an apocalyptic number.

11021020202112 is a gapful number since it is divisible by the number (12) 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 11021020202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15419624131200).

11021020202112 is an abundant number, since it is smaller than the sum of its proper divisors (19818228060288).

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

11021020202112 is a wasteful number, since it uses less digits than its factorization.

11021020202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171394 (or 1171382 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11021020202112 its reverse (21120202012011), we get a palindrome (32141222214123).

The spelling of 11021020202112 in words is "eleven trillion, twenty-one billion, twenty million, two hundred two thousand, one hundred twelve".