11220101221000 has 128 divisors (see below), whose sum is σ = 30013188940800. Its totient is φ = 3845938963200.

The previous prime is 11220101220893. The next prime is 11220101221037. The reversal of 11220101221000 is 12210102211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28356522 + ... + 28749478.

It is an arithmetic number, because the mean of its divisors is an integer number (234478038600).

Almost surely, 2^{11220101221000} is an apocalyptic number.

11220101221000 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 11220101221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15006594470400).

11220101221000 is an abundant number, since it is smaller than the sum of its proper divisors (18793087719800).

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

11220101221000 is a wasteful number, since it uses less digits than its factorization.

11220101221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397064 (or 397050 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11220101221000 its reverse (12210102211), we get a palindrome (11232311323211).

The spelling of 11220101221000 in words is "eleven trillion, two hundred twenty billion, one hundred one million, two hundred twenty-one thousand".