11010203022000 has 1280 divisors, whose sum is σ = 44565723611136. Its totient is φ = 2276789760000.

The previous prime is 11010203021957. The next prime is 11010203022011. The reversal of 11010203022000 is 22030201011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7404305257 + ... + 7404306743.

Almost surely, 2^{11010203022000} is an apocalyptic number.

11010203022000 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 11010203022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22282861805568).

11010203022000 is an abundant number, since it is smaller than the sum of its proper divisors (33555520589136).

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

11010203022000 is a wasteful number, since it uses less digits than its factorization.

11010203022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11010203022000 its reverse (22030201011), we get a palindrome (11032233223011).

The spelling of 11010203022000 in words is "eleven trillion, ten billion, two hundred three million, twenty-two thousand".