10200104004441 has 32 divisors (see below), whose sum is σ = 14668232400640. Its totient is φ = 6267591800064.

The previous prime is 10200104004413. The next prime is 10200104004449. The reversal of 10200104004441 is 14440040100201.

It is not a de Polignac number, because 10200104004441 - 2⁷ = 10200104004313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10200104004449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 187237155 + ... + 187291623.

It is an arithmetic number, because the mean of its divisors is an integer number (458382262520).

Almost surely, 2^{10200104004441} is an apocalyptic number.

It is an amenable number.

10200104004441 is a deficient number, since it is larger than the sum of its proper divisors (4468128396199).

10200104004441 is a wasteful number, since it uses less digits than its factorization.

10200104004441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61585.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10200104004441 its reverse (14440040100201), we get a palindrome (24640144104642).

The spelling of 10200104004441 in words is "ten trillion, two hundred billion, one hundred four million, four thousand, four hundred forty-one".