100440411344321 has 16 divisors (see below), whose sum is σ = 105383118344400. Its totient is φ = 95602787309568.

The previous prime is 100440411344269. The next prime is 100440411344347. The reversal of 100440411344321 is 123443114044001.

It can be written as a sum of positive squares in 8 ways, for example, as 33167935423921 + 67272475920400 = 5759161^2 + 8201980^2 .

It is a cyclic number.

It is not a de Polignac number, because 100440411344321 - 2³⁰ = 100439337602497 is a prime.

It is a super-4 number, since 4×100440411344321⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100440411344381) 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, 56868050 + ... + 58607643.

It is an arithmetic number, because the mean of its divisors is an integer number (6586444896525).

Almost surely, 2^{100440411344321} is an apocalyptic number.

It is an amenable number.

100440411344321 is a deficient number, since it is larger than the sum of its proper divisors (4942707000079).

100440411344321 is a wasteful number, since it uses less digits than its factorization.

100440411344321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115476148.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 100440411344321 its reverse (123443114044001), we get a palindrome (223883525388322).

The spelling of 100440411344321 in words is "one hundred trillion, four hundred forty billion, four hundred eleven million, three hundred forty-four thousand, three hundred twenty-one".