20201200202120 has 192 divisors, whose sum is σ = 53082700444800. Its totient is φ = 6898772643840.

The previous prime is 20201200202119. The next prime is 20201200202153. The reversal of 20201200202120 is 2120200210202.

It is a super-2 number, since 2×20201200202120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20201200202095 and 20201200202104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635821835 + ... + 635853605.

It is an arithmetic number, because the mean of its divisors is an integer number (276472398150).

Almost surely, 2^{20201200202120} is an apocalyptic number.

20201200202120 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 20201200202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26541350222400).

20201200202120 is an abundant number, since it is smaller than the sum of its proper divisors (32881500242680).

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

20201200202120 is a wasteful number, since it uses less digits than its factorization.

20201200202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33068 (or 33057 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20201200202120 its reverse (2120200210202), we get a palindrome (22321400412322).

The spelling of 20201200202120 in words is "twenty trillion, two hundred one billion, two hundred million, two hundred two thousand, one hundred twenty".