11020110201100 has 288 divisors, whose sum is σ = 32229983149056. Its totient is φ = 3158557977600.

The previous prime is 11020110201077. The next prime is 11020110201119. The reversal of 11020110201100 is 110201102011.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 26117002 + ... + 26535598.

It is an arithmetic number, because the mean of its divisors is an integer number (111909663712).

Almost surely, 2^{11020110201100} is an apocalyptic number.

11020110201100 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 11020110201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16114991574528).

11020110201100 is an abundant number, since it is smaller than the sum of its proper divisors (21209872947956).

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

11020110201100 is a wasteful number, since it uses less digits than its factorization.

11020110201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418905 (or 418898 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11020110201100 its reverse (110201102011), we get a palindrome (11130311303111).

11020110201100 divided by its reverse (110201102011) gives a square (100 = 10²).

It can be divided in two parts, 110201 and 10201100, that added together give a palindrome (10311301).

The spelling of 11020110201100 in words is "eleven trillion, twenty billion, one hundred ten million, two hundred one thousand, one hundred".