100033322234401 has 2 divisors, whose sum is σ = 100033322234402. Its totient is φ = 100033322234400.

The previous prime is 100033322234371. The next prime is 100033322234497. The reversal of 100033322234401 is 104432223330001.

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., 80410406824225 + 19622915410176 = 8967185^2 + 4429776^2 .

It is a cyclic number.

It is not a de Polignac number, because 100033322234401 - 2¹³ = 100033322226209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100033322234401.

It is not a weakly prime, because it can be changed into another prime (100033322234201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50016661117200 + 50016661117201.

It is an arithmetic number, because the mean of its divisors is an integer number (50016661117201).

Almost surely, 2^{100033322234401} is an apocalyptic number.

It is an amenable number.

100033322234401 is a deficient number, since it is larger than the sum of its proper divisors (1).

100033322234401 is an equidigital number, since it uses as much as digits as its factorization.

100033322234401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 100033322234401 its reverse (104432223330001), we get a palindrome (204465545564402).

The spelling of 100033322234401 in words is "one hundred trillion, thirty-three billion, three hundred twenty-two million, two hundred thirty-four thousand, four hundred one".