21211112020100 has 72 divisors (see below), whose sum is σ = 46630480723848. Its totient is φ = 8373939328000.

The previous prime is 21211112020079. The next prime is 21211112020123. The reversal of 21211112020100 is 102021111212.

It can be written as a sum of positive squares in 12 ways, for example, as 464690349124 + 20746421670976 = 681682^2 + 4554824^2 .

It is a super-2 number, since 2×21211112020100² (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 110777 + ... + 6514176.

It is an arithmetic number, because the mean of its divisors is an integer number (647645565609).

Almost surely, 2^{21211112020100} is an apocalyptic number.

21211112020100 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 21211112020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23315240361924).

21211112020100 is an abundant number, since it is smaller than the sum of its proper divisors (25419368703748).

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

21211112020100 is a wasteful number, since it uses less digits than its factorization.

21211112020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6625385 (or 6625378 counting only the distinct ones).

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

Adding to 21211112020100 its reverse (102021111212), we get a palindrome (21313133131312).

The spelling of 21211112020100 in words is "twenty-one trillion, two hundred eleven billion, one hundred twelve million, twenty thousand, one hundred".