103200142200041 has 16 divisors (see below), whose sum is σ = 104491070110224. Its totient is φ = 101914048978944.

The previous prime is 103200142200013. The next prime is 103200142200049. The reversal of 103200142200041 is 140002241002301.

It can be written as a sum of positive squares in 8 ways, for example, as 10725762550441 + 92474379649600 = 3275021^2 + 9616360^2 .

It is not a de Polignac number, because 103200142200041 - 2¹⁰ = 103200142199017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103200142199986 and 103200142200022.

It is not an unprimeable number, because it can be changed into a prime (103200142200049) 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, 97844015 + ... + 98893131.

It is an arithmetic number, because the mean of its divisors is an integer number (6530691881889).

Almost surely, 2^{103200142200041} is an apocalyptic number.

It is an amenable number.

103200142200041 is a deficient number, since it is larger than the sum of its proper divisors (1290927910183).

103200142200041 is a wasteful number, since it uses less digits than its factorization.

103200142200041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051420.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 103200142200041 its reverse (140002241002301), we get a palindrome (243202383202342).

It can be divided in two parts, 103200 and 142200041, that added together give a palindrome (142303241).

The spelling of 103200142200041 in words is "one hundred three trillion, two hundred billion, one hundred forty-two million, two hundred thousand, forty-one".