21212022100100 has 36 divisors (see below), whose sum is σ = 49570863956964. Its totient is φ = 7832131236480.

The previous prime is 21212022100033. The next prime is 21212022100103. The reversal of 21212022100100 is 100122021212.

It can be written as a sum of positive squares in 6 ways, for example, as 618119044 + 21211403981056 = 24862^2 + 4605584^2 .

It is not an unprimeable number, because it can be changed into a prime (21212022100103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8158468739 + ... + 8158471338.

It is an arithmetic number, because the mean of its divisors is an integer number (1376968443249).

Almost surely, 2^{21212022100100} is an apocalyptic number.

21212022100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212022100100 is an abundant number, since it is smaller than the sum of its proper divisors (28358841856864).

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

21212022100100 is a wasteful number, since it uses less digits than its factorization.

21212022100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16316940104 (or 16316940097 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21212022100100 its reverse (100122021212), we get a palindrome (21312144121312).

The spelling of 21212022100100 in words is "twenty-one trillion, two hundred twelve billion, twenty-two million, one hundred thousand, one hundred".