101334122033 has 2 divisors, whose sum is σ = 101334122034. Its totient is φ = 101334122032.

The previous prime is 101334122023. The next prime is 101334122047. The reversal of 101334122033 is 330221433101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87161933824 + 14172188209 = 295232^2 + 119047^2 .

It is a cyclic number.

It is not a de Polignac number, because 101334122033 - 2¹⁶ = 101334056497 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101334122023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50667061016 + 50667061017.

It is an arithmetic number, because the mean of its divisors is an integer number (50667061017).

Almost surely, 2^101334122033 is an apocalyptic number.

It is an amenable number.

101334122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101334122033 is an equidigital number, since it uses as much as digits as its factorization.

101334122033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 101334122033 its reverse (330221433101), we get a palindrome (431555555134).

The spelling of 101334122033 in words is "one hundred one billion, three hundred thirty-four million, one hundred twenty-two thousand, thirty-three".