11010112221020 has 288 divisors, whose sum is σ = 28207139659776. Its totient is φ = 3567227443200.

The previous prime is 11010112221013. The next prime is 11010112221113. The reversal of 11010112221020 is 2012221101011.

It is a super-2 number, since 2×11010112221020² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11010112220986 and 11010112221004.

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, 2850143609 + ... + 2850147471.

It is an arithmetic number, because the mean of its divisors is an integer number (97941457152).

Almost surely, 2^{11010112221020} is an apocalyptic number.

11010112221020 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 11010112221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14103569829888).

11010112221020 is an abundant number, since it is smaller than the sum of its proper divisors (17197027438756).

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

11010112221020 is a wasteful number, since it uses less digits than its factorization.

11010112221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6049 (or 6028 counting only the distinct ones).

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

Adding to 11010112221020 its reverse (2012221101011), we get a palindrome (13022333322031).

The spelling of 11010112221020 in words is "eleven trillion, ten billion, one hundred twelve million, two hundred twenty-one thousand, twenty".