201022220212000 has 768 divisors, whose sum is σ = 555750635521536. Its totient is φ = 70847078400000.

The previous prime is 201022220211973. The next prime is 201022220212001. The reversal of 201022220212000 is 212022220102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (201022220212001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44444441739 + ... + 44444446261.

It is an arithmetic number, because the mean of its divisors is an integer number (723633640002).

Almost surely, 2^{201022220212000} is an apocalyptic number.

201022220212000 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 201022220212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277875317760768).

201022220212000 is an abundant number, since it is smaller than the sum of its proper divisors (354728415309536).

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

201022220212000 is a wasteful number, since it uses less digits than its factorization.

201022220212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 201022220212000 its reverse (212022220102), we get a palindrome (201234242432102).

It can be divided in two parts, 2010222 and 20212000, that added together give a palindrome (22222222).

The spelling of 201022220212000 in words is "two hundred one trillion, twenty-two billion, two hundred twenty million, two hundred twelve thousand".