11202211020 has 576 divisors, whose sum is σ = 43870030848. Its totient is φ = 2061158400.

The previous prime is 11202211001. The next prime is 11202211039. The reversal of 11202211020 is 2011220211.

11202211020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11202211001) and next prime (11202211039).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11202210987 and 11202211005.

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 191 ways as a sum of consecutive naturals, for example, 157777585 + ... + 157777655.

It is an arithmetic number, because the mean of its divisors is an integer number (76163248).

Almost surely, 2^11202211020 is an apocalyptic number.

11202211020 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 11202211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21935015424).

11202211020 is an abundant number, since it is smaller than the sum of its proper divisors (32667819828).

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

11202211020 is a wasteful number, since it uses less digits than its factorization.

11202211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11202211020 its reverse (2011220211), we get a palindrome (13213431231).

It can be divided in two parts, 11202 and 211020, that added together give a palindrome (222222).

The spelling of 11202211020 in words is "eleven billion, two hundred two million, two hundred eleven thousand, twenty".