10200444132341 has 48 divisors (see below), whose sum is σ = 10802214259200. Its totient is φ = 9624777427200.

The previous prime is 10200444132313. The next prime is 10200444132353. The reversal of 10200444132341 is 14323144400201.

It is not a de Polignac number, because 10200444132341 - 2²⁶ = 10200377023477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200444132301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3506510795 + ... + 3506513703.

It is an arithmetic number, because the mean of its divisors is an integer number (225046130400).

Almost surely, 2^{10200444132341} is an apocalyptic number.

It is an amenable number.

10200444132341 is a deficient number, since it is larger than the sum of its proper divisors (601770126859).

10200444132341 is an equidigital number, since it uses as much as digits as its factorization.

10200444132341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 10200444132341 its reverse (14323144400201), we get a palindrome (24523588532542).

The spelling of 10200444132341 in words is "ten trillion, two hundred billion, four hundred forty-four million, one hundred thirty-two thousand, three hundred forty-one".