205102241120 has 96 divisors (see below), whose sum is σ = 555092709696. Its totient is φ = 70153574400.

The previous prime is 205102241083. The next prime is 205102241129. The reversal of 205102241120 is 21142201502.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 205102241092 and 205102241101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205102241129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254030 + ... + 689010.

It is an arithmetic number, because the mean of its divisors is an integer number (5782215726).

Almost surely, 2^205102241120 is an apocalyptic number.

205102241120 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 205102241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277546354848).

205102241120 is an abundant number, since it is smaller than the sum of its proper divisors (349990468576).

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

205102241120 is a wasteful number, since it uses less digits than its factorization.

205102241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435424 (or 435416 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 205102241120 its reverse (21142201502), we get a palindrome (226244442622).

The spelling of 205102241120 in words is "two hundred five billion, one hundred two million, two hundred forty-one thousand, one hundred twenty".