21220210222200 has 432 divisors, whose sum is σ = 79275924687960. Its totient is φ = 5082309619200.

The previous prime is 21220210222087. The next prime is 21220210222249. The reversal of 21220210222200 is 222201202212.

21220210222200 is a `hidden beast` number, since 2 + 1 + 220 + 21 + 0 + 222 + 200 = 666.

It is a super-2 number, since 2×21220210222200² (a number of 27 digits) contains 22 as substring.

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

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 107 ways as a sum of consecutive naturals, for example, 17490474 + ... + 18664326.

Almost surely, 2^{21220210222200} is an apocalyptic number.

21220210222200 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 21220210222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39637962343980).

21220210222200 is an abundant number, since it is smaller than the sum of its proper divisors (58055714465760).

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

21220210222200 is a wasteful number, since it uses less digits than its factorization.

21220210222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173980 (or 1173957 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21220210222200 its reverse (222201202212), we get a palindrome (21442411424412).

The spelling of 21220210222200 in words is "twenty-one trillion, two hundred twenty billion, two hundred ten million, two hundred twenty-two thousand, two hundred".