101004044400409 has 2 divisors, whose sum is σ = 101004044400410. Its totient is φ = 101004044400408.

The previous prime is 101004044400407. The next prime is 101004044400433. The reversal of 101004044400409 is 904004440400101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100987485858009 + 16558542400 = 10049253^2 + 128680^2 .

It is an emirp because it is prime and its reverse (904004440400101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101004044400409 - 2¹ = 101004044400407 is a prime.

Together with 101004044400407, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101004044400403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50502022200204 + 50502022200205.

It is an arithmetic number, because the mean of its divisors is an integer number (50502022200205).

Almost surely, 2^{101004044400409} is an apocalyptic number.

It is an amenable number.

101004044400409 is a deficient number, since it is larger than the sum of its proper divisors (1).

101004044400409 is an equidigital number, since it uses as much as digits as its factorization.

101004044400409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 101004044400409 in words is "one hundred one trillion, four billion, forty-four million, four hundred thousand, four hundred nine".