11011001221000 has 64 divisors (see below), whose sum is σ = 28108083144960. Its totient is φ = 4004000440000.

The previous prime is 11011001220913. The next prime is 11011001221039. The reversal of 11011001221000 is 12210011011.

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 15 ways as a sum of consecutive naturals, for example, 500489056 + ... + 500511055.

It is an arithmetic number, because the mean of its divisors is an integer number (439188799140).

Almost surely, 2^{11011001221000} is an apocalyptic number.

11011001221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011001221000 is an abundant number, since it is smaller than the sum of its proper divisors (17097081923960).

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

11011001221000 is a wasteful number, since it uses less digits than its factorization.

11011001221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001000143 (or 1001000129 counting only the distinct ones).

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

Adding to 11011001221000 its reverse (12210011011), we get a palindrome (11023211232011).

The spelling of 11011001221000 in words is "eleven trillion, eleven billion, one million, two hundred twenty-one thousand".