220022210100000 has 1152 divisors, whose sum is σ = 900621856512000. Its totient is φ = 45689011200000.

The previous prime is 220022210099971. The next prime is 220022210100023. The reversal of 220022210100000 is 1012220022.

220022210100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62346898236 + ... + 62346901764.

It is an arithmetic number, because the mean of its divisors is an integer number (781789806000).

Almost surely, 2^{220022210100000} is an apocalyptic number.

220022210100000 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 220022210100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450310928256000).

220022210100000 is an abundant number, since it is smaller than the sum of its proper divisors (680599646412000).

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

220022210100000 is a wasteful number, since it uses less digits than its factorization.

220022210100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6284 (or 6256 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220022210100000 its reverse (1012220022), we get a palindrome (220023222320022).

The spelling of 220022210100000 in words is "two hundred twenty trillion, twenty-two billion, two hundred ten million, one hundred thousand".