21222010012100 has 72 divisors (see below), whose sum is σ = 46309002966408. Its totient is φ = 8441391974400.

The previous prime is 21222010012003. The next prime is 21222010012117. The reversal of 21222010012100 is 121001022212.

It can be written as a sum of positive squares in 12 ways, for example, as 14023392227524 + 7198617784576 = 3744782^2 + 2683024^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 468278642 + ... + 468323958.

Almost surely, 2^{21222010012100} is an apocalyptic number.

21222010012100 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 21222010012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154501483204).

21222010012100 is an abundant number, since it is smaller than the sum of its proper divisors (25086992954308).

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

21222010012100 is a wasteful number, since it uses less digits than its factorization.

21222010012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71385 (or 71378 counting only the distinct ones).

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

Adding to 21222010012100 its reverse (121001022212), we get a palindrome (21343011034312).

The spelling of 21222010012100 in words is "twenty-one trillion, two hundred twenty-two billion, ten million, twelve thousand, one hundred".