11021101200000 has 1152 divisors, whose sum is σ = 41179712923440. Its totient is φ = 2826731520000.

The previous prime is 11021101199951. The next prime is 11021101200023. The reversal of 11021101200000 is 210112011.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 9643707906624 + 1377393293376 = 3105432^2 + 1173624^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12920399574 + ... + 12920400426.

Almost surely, 2^{11021101200000} is an apocalyptic number.

11021101200000 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 11021101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20589856461720).

11021101200000 is an abundant number, since it is smaller than the sum of its proper divisors (30158611723440).

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

11021101200000 is an frugal number, since it uses more digits than its factorization.

11021101200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11021101200000 its reverse (210112011), we get a palindrome (11021311312011).

The spelling of 11021101200000 in words is "eleven trillion, twenty-one billion, one hundred one million, two hundred thousand".