11201012011020 has 288 divisors, whose sum is σ = 34710667617024. Its totient is φ = 2696962944000.

The previous prime is 11201012010893. The next prime is 11201012011039. The reversal of 11201012011020 is 2011021010211.

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 = 11201012010987 and 11201012011005.

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, 84937735 + ... + 85069505.

It is an arithmetic number, because the mean of its divisors is an integer number (120523151448).

Almost surely, 2^{11201012011020} is an apocalyptic number.

11201012011020 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 11201012011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17355333808512).

11201012011020 is an abundant number, since it is smaller than the sum of its proper divisors (23509655606004).

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

11201012011020 is a wasteful number, since it uses less digits than its factorization.

11201012011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131993 (or 131978 counting only the distinct ones).

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

Adding to 11201012011020 its reverse (2011021010211), we get a palindrome (13212033021231).

The spelling of 11201012011020 in words is "eleven trillion, two hundred one billion, twelve million, eleven thousand, twenty".