21211021102100 has 36 divisors (see below), whose sum is σ = 47150547893148. Its totient is φ = 8277471648000.

The previous prime is 21211021102099. The next prime is 21211021102109. The reversal of 21211021102100 is 120112011212.

It can be written as a sum of positive squares in 6 ways, for example, as 262568107396 + 20948452994704 = 512414^2 + 4576948^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211021102109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2586705791 + ... + 2586713990.

Almost surely, 2^{21211021102100} is an apocalyptic number.

21211021102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211021102100 is an abundant number, since it is smaller than the sum of its proper divisors (25939526791048).

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

21211021102100 is a wasteful number, since it uses less digits than its factorization.

21211021102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5173419836 (or 5173419829 counting only the distinct ones).

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

Adding to 21211021102100 its reverse (120112011212), we get a palindrome (21331133113312).

The spelling of 21211021102100 in words is "twenty-one trillion, two hundred eleven billion, twenty-one million, one hundred two thousand, one hundred".