11010201112020 has 288 divisors, whose sum is σ = 33998581064448. Its totient is φ = 2660283648000.

The previous prime is 11010201111989. The next prime is 11010201112067. The reversal of 11010201112020 is 2021110201011.

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 = 11010201111987 and 11010201112005.

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, 3366002985 + ... + 3366006255.

It is an arithmetic number, because the mean of its divisors is an integer number (118050628696).

Almost surely, 2^{11010201112020} is an apocalyptic number.

11010201112020 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 11010201112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16999290532224).

11010201112020 is an abundant number, since it is smaller than the sum of its proper divisors (22988379952428).

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

11010201112020 is a wasteful number, since it uses less digits than its factorization.

11010201112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4703 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11010201112020 its reverse (2021110201011), we get a palindrome (13031311313031).

The spelling of 11010201112020 in words is "eleven trillion, ten billion, two hundred one million, one hundred twelve thousand, twenty".