20212102112220 has 288 divisors, whose sum is σ = 63462420822528. Its totient is φ = 5203009437696.

The previous prime is 20212102112219. The next prime is 20212102112243. The reversal of 20212102112220 is 2221120121202.

It is a happy number.

20212102112220 is a `hidden beast` number, since 2 + 0 + 21 + 210 + 211 + 2 + 220 = 666.

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 = 20212102112193 and 20212102112202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1955310892 + ... + 1955321228.

It is an arithmetic number, because the mean of its divisors is an integer number (220355627856).

Almost surely, 2^{20212102112220} is an apocalyptic number.

20212102112220 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 20212102112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31731210411264).

20212102112220 is an abundant number, since it is smaller than the sum of its proper divisors (43250318710308).

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

20212102112220 is a wasteful number, since it uses less digits than its factorization.

20212102112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12669 (or 12664 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20212102112220 its reverse (2221120121202), we get a palindrome (22433222233422).

The spelling of 20212102112220 in words is "twenty trillion, two hundred twelve billion, one hundred two million, one hundred twelve thousand, two hundred twenty".