10205342120 has 32 divisors (see below), whose sum is σ = 22965741000. Its totient is φ = 4081475328.

The previous prime is 10205342117. The next prime is 10205342129. The reversal of 10205342120 is 2124350201.

It can be written as a sum of positive squares in 4 ways, for example, as 9126745156 + 1078596964 = 95534^2 + 32842^2 .

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 = 10205342092 and 10205342101.

It is not an unprimeable number, because it can be changed into a prime (10205342129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285062 + ... + 318858.

Almost surely, 2^10205342120 is an apocalyptic number.

10205342120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10205342120 is an abundant number, since it is smaller than the sum of its proper divisors (12760398880).

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

10205342120 is a wasteful number, since it uses less digits than its factorization.

10205342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41357 (or 41353 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10205342120 its reverse (2124350201), we get a palindrome (12329692321).

The spelling of 10205342120 in words is "ten billion, two hundred five million, three hundred forty-two thousand, one hundred twenty".