101404440200221 has 2 divisors, whose sum is σ = 101404440200222. Its totient is φ = 101404440200220.

The previous prime is 101404440200213. The next prime is 101404440200237. The reversal of 101404440200221 is 122002044404101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87520328352900 + 13884111847321 = 9355230^2 + 3726139^2 .

It is a cyclic number.

It is not a de Polignac number, because 101404440200221 - 2³ = 101404440200213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101404440200281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50702220100110 + 50702220100111.

It is an arithmetic number, because the mean of its divisors is an integer number (50702220100111).

Almost surely, 2^{101404440200221} is an apocalyptic number.

It is an amenable number.

101404440200221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101404440200221 is an equidigital number, since it uses as much as digits as its factorization.

101404440200221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 101404440200221 its reverse (122002044404101), we get a palindrome (223406484604322).

The spelling of 101404440200221 in words is "one hundred one trillion, four hundred four billion, four hundred forty million, two hundred thousand, two hundred twenty-one".