21121220022200 has 96 divisors (see below), whose sum is σ = 50802496423200. Its totient is φ = 8156788200960.

The previous prime is 21121220022163. The next prime is 21121220022223. The reversal of 21121220022200 is 222002212112.

It is a happy number.

It is a super-3 number, since 3×21121220022200³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150341189 + ... + 150481611.

It is an arithmetic number, because the mean of its divisors is an integer number (529192671075).

Almost surely, 2^{21121220022200} is an apocalyptic number.

21121220022200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121220022200 is an abundant number, since it is smaller than the sum of its proper divisors (29681276401000).

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

21121220022200 is a wasteful number, since it uses less digits than its factorization.

21121220022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166401 (or 166392 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21121220022200 its reverse (222002212112), we get a palindrome (21343222234312).

The spelling of 21121220022200 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred twenty million, twenty-two thousand, two hundred".