210022212200220 has 192 divisors, whose sum is σ = 746821197696000. Its totient is φ = 48000220012800.

The previous prime is 210022212200219. The next prime is 210022212200221. The reversal of 210022212200220 is 22002212220012.

210022212200220 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 2 + 221 + 220 + 0 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (210022212200219) and next prime (210022212200221).

It is a super-2 number, since 2×210022212200220² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 210022212200193 and 210022212200202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210022212200221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34619931 + ... + 40231629.

It is an arithmetic number, because the mean of its divisors is an integer number (3889693738000).

Almost surely, 2^{210022212200220} is an apocalyptic number.

210022212200220 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 210022212200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373410598848000).

210022212200220 is an abundant number, since it is smaller than the sum of its proper divisors (536798985495780).

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

210022212200220 is a wasteful number, since it uses less digits than its factorization.

210022212200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5621625 (or 5621617 counting only the distinct ones).

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

Adding to 210022212200220 its reverse (22002212220012), we get a palindrome (232024424420232).

The spelling of 210022212200220 in words is "two hundred ten trillion, twenty-two billion, two hundred twelve million, two hundred thousand, two hundred twenty".