11201101211120 has 480 divisors, whose sum is σ = 28341770772480. Its totient is φ = 4109682769920.

The previous prime is 11201101211101. The next prime is 11201101211143. The reversal of 11201101211120 is 2111210110211.

It is a junction number, because it is equal to n+sod(n) for n = 11201101211095 and 11201101211104.

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, 58036793744 + ... + 58036793936.

It is an arithmetic number, because the mean of its divisors is an integer number (59045355776).

Almost surely, 2^{11201101211120} is an apocalyptic number.

11201101211120 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 11201101211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14170885386240).

11201101211120 is an abundant number, since it is smaller than the sum of its proper divisors (17140669561360).

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

11201101211120 is a wasteful number, since it uses less digits than its factorization.

11201101211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11201101211120 its reverse (2111210110211), we get a palindrome (13312311321331).

The spelling of 11201101211120 in words is "eleven trillion, two hundred one billion, one hundred one million, two hundred eleven thousand, one hundred twenty".