21212313100 has 72 divisors (see below), whose sum is σ = 50493236976. Its totient is φ = 7670880000.

The previous prime is 21212313079. The next prime is 21212313137. The reversal of 21212313100 is 131321212.

It is a super-2 number, since 2×21212313100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145830 + ... + 252370.

It is an arithmetic number, because the mean of its divisors is an integer number (701294958).

Almost surely, 2^21212313100 is an apocalyptic number.

21212313100 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 21212313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25246618488).

21212313100 is an abundant number, since it is smaller than the sum of its proper divisors (29280923876).

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

21212313100 is a wasteful number, since it uses less digits than its factorization.

21212313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106747 (or 106740 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21212313100 its reverse (131321212), we get a palindrome (21343634312).

The spelling of 21212313100 in words is "twenty-one billion, two hundred twelve million, three hundred thirteen thousand, one hundred".