21222211000100 has 288 divisors, whose sum is σ = 51724189440000. Its totient is φ = 7491329395200.

The previous prime is 21222211000097. The next prime is 21222211000103. The reversal of 21222211000100 is 100011222212.

It is an interprime number because it is at equal distance from previous prime (21222211000097) and next prime (21222211000103).

It is not an unprimeable number, because it can be changed into a prime (21222211000103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7719973526 + ... + 7719976274.

It is an arithmetic number, because the mean of its divisors is an integer number (179597880000).

Almost surely, 2^{21222211000100} is an apocalyptic number.

21222211000100 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 21222211000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25862094720000).

21222211000100 is an abundant number, since it is smaller than the sum of its proper divisors (30501978439900).

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

21222211000100 is a wasteful number, since it uses less digits than its factorization.

21222211000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3756 counting only the distinct ones).

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

Adding to 21222211000100 its reverse (100011222212), we get a palindrome (21322222222312).

The spelling of 21222211000100 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred eleven million, one hundred", and thus it is an aban number.