20205102120 has 256 divisors, whose sum is σ = 70253015040. Its totient is φ = 4553515008.

The previous prime is 20205102119. The next prime is 20205102121. The reversal of 20205102120 is 2120150202.

It is an interprime number because it is at equal distance from previous prime (20205102119) and next prime (20205102121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20205102120.

It is not an unprimeable number, because it can be changed into a prime (20205102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30022104 + ... + 30022776.

It is an arithmetic number, because the mean of its divisors is an integer number (274425840).

Almost surely, 2^20205102120 is an apocalyptic number.

20205102120 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 20205102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35126507520).

20205102120 is an abundant number, since it is smaller than the sum of its proper divisors (50047912920).

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

20205102120 is a wasteful number, since it uses less digits than its factorization.

20205102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 20205102120 its reverse (2120150202), we get a palindrome (22325252322).

The spelling of 20205102120 in words is "twenty billion, two hundred five million, one hundred two thousand, one hundred twenty".