11220201101000 has 256 divisors, whose sum is σ = 27822968709120. Its totient is φ = 4228761600000.

The previous prime is 11220201100993. The next prime is 11220201101009. The reversal of 11220201101000 is 10110202211.

It is a super-2 number, since 2×11220201101000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11220201101009) 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 63 ways as a sum of consecutive naturals, for example, 281181050 + ... + 281220950.

It is an arithmetic number, because the mean of its divisors is an integer number (108683471520).

Almost surely, 2^{11220201101000} is an apocalyptic number.

11220201101000 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 11220201101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13911484354560).

11220201101000 is an abundant number, since it is smaller than the sum of its proper divisors (16602767608120).

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

11220201101000 is a wasteful number, since it uses less digits than its factorization.

11220201101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40193 (or 40179 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11220201101000 its reverse (10110202211), we get a palindrome (11230311303211).

The spelling of 11220201101000 in words is "eleven trillion, two hundred twenty billion, two hundred one million, one hundred one thousand".