21211221201100 has 144 divisors (see below), whose sum is σ = 53797136762880. Its totient is φ = 7109268192000.

The previous prime is 21211221201061. The next prime is 21211221201127. The reversal of 21211221201100 is 110212211212.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3686457 + ... + 7484143.

It is an arithmetic number, because the mean of its divisors is an integer number (373591227520).

Almost surely, 2^{21211221201100} is an apocalyptic number.

21211221201100 is a gapful number since it is divisible by the number (20) 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 21211221201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26898568381440).

21211221201100 is an abundant number, since it is smaller than the sum of its proper divisors (32585915561780).

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

21211221201100 is a wasteful number, since it uses less digits than its factorization.

21211221201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797888 (or 3797881 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21211221201100 its reverse (110212211212), we get a palindrome (21321433412312).

The spelling of 21211221201100 in words is "twenty-one trillion, two hundred eleven billion, two hundred twenty-one million, two hundred one thousand, one hundred".