21202222121100 has 216 divisors, whose sum is σ = 68263690687920. Its totient is φ = 5500281853440.

The previous prime is 21202222121083. The next prime is 21202222121111. The reversal of 21202222121100 is 112122220212.

It is a happy number.

21202222121100 is a `hidden beast` number, since 2 + 120 + 222 + 212 + 110 + 0 = 666.

It is a super-4 number, since 4×21202222121100⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 236684919 + ... + 236774481.

Almost surely, 2^{21202222121100} is an apocalyptic number.

21202222121100 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 21202222121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34131845343960).

21202222121100 is an abundant number, since it is smaller than the sum of its proper divisors (47061468566820).

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

21202222121100 is a wasteful number, since it uses less digits than its factorization.

21202222121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96729 (or 96719 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21202222121100 its reverse (112122220212), we get a palindrome (21314344341312).

The spelling of 21202222121100 in words is "twenty-one trillion, two hundred two billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred".