20102222021200 has 480 divisors, whose sum is σ = 54342324047232. Its totient is φ = 7084707840000.

The previous prime is 20102222021149. The next prime is 20102222021209. The reversal of 20102222021200 is 212022220102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102222021209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4444442139 + ... + 4444446661.

Almost surely, 2^{20102222021200} is an apocalyptic number.

20102222021200 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 20102222021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27171162023616).

20102222021200 is an abundant number, since it is smaller than the sum of its proper divisors (34240102026032).

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

20102222021200 is a wasteful number, since it uses less digits than its factorization.

20102222021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4863 (or 4852 counting only the distinct ones).

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

Adding to 20102222021200 its reverse (212022220102), we get a palindrome (20314244241302).

It can be divided in two parts, 201022 and 22021200, that added together give a palindrome (22222222).

The spelling of 20102222021200 in words is "twenty trillion, one hundred two billion, two hundred twenty-two million, twenty-one thousand, two hundred".