10100444004321 has 32 divisors (see below), whose sum is σ = 14758173720576. Its totient is φ = 6093775152000.

The previous prime is 10100444004319. The next prime is 10100444004341. The reversal of 10100444004321 is 12340044400101.

It is not a de Polignac number, because 10100444004321 - 2¹ = 10100444004319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100444004291 and 10100444004300.

It is not an unprimeable number, because it can be changed into a prime (10100444004341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7163520 + ... + 8456766.

It is an arithmetic number, because the mean of its divisors is an integer number (461192928768).

Almost surely, 2^{10100444004321} is an apocalyptic number.

10100444004321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100444004321 is a deficient number, since it is larger than the sum of its proper divisors (4657729716255).

10100444004321 is a wasteful number, since it uses less digits than its factorization.

10100444004321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294333.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10100444004321 its reverse (12340044400101), we get a palindrome (22440488404422).

The spelling of 10100444004321 in words is "ten trillion, one hundred billion, four hundred forty-four million, four thousand, three hundred twenty-one".