21222312012100 has 36 divisors (see below), whose sum is σ = 46072362312900. Its totient is φ = 8485248261760.

The previous prime is 21222312012079. The next prime is 21222312012101. The reversal of 21222312012100 is 121021322212.

It can be written as a sum of positive squares in 6 ways, for example, as 981652934656 + 20240659077444 = 990784^2 + 4498962^2 .

It is not an unprimeable number, because it can be changed into a prime (21222312012101) 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, 45724735 + ... + 46186534.

It is an arithmetic number, because the mean of its divisors is an integer number (1279787842025).

Almost surely, 2^{21222312012100} is an apocalyptic number.

21222312012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222312012100 is an abundant number, since it is smaller than the sum of its proper divisors (24850050300800).

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

21222312012100 is a wasteful number, since it uses less digits than its factorization.

21222312012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91913592 (or 91913585 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 21222312012100 its reverse (121021322212), we get a palindrome (21343333334312).

The spelling of 21222312012100 in words is "twenty-one trillion, two hundred twenty-two billion, three hundred twelve million, twelve thousand, one hundred".