11011220110000 has 800 divisors, whose sum is σ = 31573125815616. Its totient is φ = 3674112000000.

The previous prime is 11011220109871. The next prime is 11011220110067. The reversal of 11011220110000 is 1102211011.

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 159 ways as a sum of consecutive naturals, for example, 23885509770 + ... + 23885510230.

Almost surely, 2^{11011220110000} is an apocalyptic number.

11011220110000 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 11011220110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15786562907808).

11011220110000 is an abundant number, since it is smaller than the sum of its proper divisors (20561905705616).

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

11011220110000 is a wasteful number, since it uses less digits than its factorization.

11011220110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 790 counting only the distinct ones).

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

Adding to 11011220110000 its reverse (1102211011), we get a palindrome (11012322321011).

The spelling of 11011220110000 in words is "eleven trillion, eleven billion, two hundred twenty million, one hundred ten thousand".