11201111002020 has 192 divisors, whose sum is σ = 31986577244160. Its totient is φ = 2928110976000.

The previous prime is 11201111002001. The next prime is 11201111002021. The reversal of 11201111002020 is 2020011110211.

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 = 11201111001987 and 11201111002005.

It is not an unprimeable number, because it can be changed into a prime (11201111002021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1103443945 + ... + 1103454095.

It is an arithmetic number, because the mean of its divisors is an integer number (166596756480).

Almost surely, 2^{11201111002020} is an apocalyptic number.

11201111002020 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 11201111002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15993288622080).

11201111002020 is an abundant number, since it is smaller than the sum of its proper divisors (20785466242140).

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

11201111002020 is a wasteful number, since it uses less digits than its factorization.

11201111002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11746 (or 11744 counting only the distinct ones).

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

Adding to 11201111002020 its reverse (2020011110211), we get a palindrome (13221122112231).

The spelling of 11201111002020 in words is "eleven trillion, two hundred one billion, one hundred eleven million, two thousand, twenty".