21200122221100 has 72 divisors (see below), whose sum is σ = 46339250886320. Its totient is φ = 8418310974720.

The previous prime is 21200122221079. The next prime is 21200122221121. The reversal of 21200122221100 is 112222100212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21200122221079) and next prime (21200122221121).

It is a super-4 number, since 4×21200122221100⁴ (a number of 54 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177262522 + ... + 177382078.

Almost surely, 2^{21200122221100} is an apocalyptic number.

21200122221100 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 21200122221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23169625443160).

21200122221100 is an abundant number, since it is smaller than the sum of its proper divisors (25139128665220).

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

21200122221100 is a wasteful number, since it uses less digits than its factorization.

21200122221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132467 (or 132460 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21200122221100 its reverse (112222100212), we get a palindrome (21312344321312).

The spelling of 21200122221100 in words is "twenty-one trillion, two hundred billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred".