20201101222120 has 256 divisors, whose sum is σ = 58924583424000. Its totient is φ = 6187077872640.

The previous prime is 20201101222103. The next prime is 20201101222199. The reversal of 20201101222120 is 2122210110202.

It is a happy number.

It is a super-4 number, since 4×20201101222120⁴ (a number of 54 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20201101222094 and 20201101222103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3702382 + ... + 7355938.

It is an arithmetic number, because the mean of its divisors is an integer number (230174154000).

Almost surely, 2^{20201101222120} is an apocalyptic number.

20201101222120 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 20201101222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29462291712000).

20201101222120 is an abundant number, since it is smaller than the sum of its proper divisors (38723482201880).

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

20201101222120 is a wasteful number, since it uses less digits than its factorization.

20201101222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653633 (or 3653615 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20201101222120 its reverse (2122210110202), we get a palindrome (22323311332322).

The spelling of 20201101222120 in words is "twenty trillion, two hundred one billion, one hundred one million, two hundred twenty-two thousand, one hundred twenty".