11134221010000 has 200 divisors, whose sum is σ = 29415604968288. Its totient is φ = 4047720000000.

The previous prime is 11134221009991. The next prime is 11134221010043. The reversal of 11134221010000 is 1012243111.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 489598630 + ... + 489621370.

Almost surely, 2^{11134221010000} is an apocalyptic number.

11134221010000 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 11134221010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14707802484144).

11134221010000 is an abundant number, since it is smaller than the sum of its proper divisors (18281383958288).

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

11134221010000 is a wasteful number, since it uses less digits than its factorization.

11134221010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27231 (or 27210 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11134221010000 its reverse (1012243111), we get a palindrome (11135233253111).

The spelling of 11134221010000 in words is "eleven trillion, one hundred thirty-four billion, two hundred twenty-one million, ten thousand".