11001101221000 has 128 divisors (see below), whose sum is σ = 28084588945920. Its totient is φ = 4000147200000.

The previous prime is 11001101220983. The next prime is 11001101221009. The reversal of 11001101221000 is 12210110011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11001101221009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 332634465 + ... + 332667535.

It is an arithmetic number, because the mean of its divisors is an integer number (219410851140).

Almost surely, 2^{11001101221000} is an apocalyptic number.

11001101221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001101221000 is an abundant number, since it is smaller than the sum of its proper divisors (17083487724920).

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

11001101221000 is a wasteful number, since it uses less digits than its factorization.

11001101221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63344 (or 63330 counting only the distinct ones).

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

Adding to 11001101221000 its reverse (12210110011), we get a palindrome (11013311331011).

The spelling of 11001101221000 in words is "eleven trillion, one billion, one hundred one million, two hundred twenty-one thousand".