21202210111100 has 72 divisors (see below), whose sum is σ = 46532016604080. Its totient is φ = 8384463521280.

The previous prime is 21202210111073. The next prime is 21202210111109. The reversal of 21202210111100 is 111101220212.

21202210111100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202210111109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67510034 + ... + 67823366.

It is an arithmetic number, because the mean of its divisors is an integer number (646278008390).

Almost surely, 2^{21202210111100} is an apocalyptic number.

21202210111100 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 21202210111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23266008302040).

21202210111100 is an abundant number, since it is smaller than the sum of its proper divisors (25329806492980).

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

21202210111100 is a wasteful number, since it uses less digits than its factorization.

21202210111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321039 (or 321032 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21202210111100 its reverse (111101220212), we get a palindrome (21313311331312).

The spelling of 21202210111100 in words is "twenty-one trillion, two hundred two billion, two hundred ten million, one hundred eleven thousand, one hundred".