100335314122633 has 2 divisors, whose sum is σ = 100335314122634. Its totient is φ = 100335314122632.

The previous prime is 100335314122601. The next prime is 100335314122649. The reversal of 100335314122633 is 336221413533001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73706122641529 + 26629191481104 = 8585227^2 + 5160348^2 .

It is a cyclic number.

It is not a de Polignac number, because 100335314122633 - 2⁵ = 100335314122601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100335314122592 and 100335314122601.

It is not a weakly prime, because it can be changed into another prime (100335314122663) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50167657061316 + 50167657061317.

It is an arithmetic number, because the mean of its divisors is an integer number (50167657061317).

Almost surely, 2^{100335314122633} is an apocalyptic number.

It is an amenable number.

100335314122633 is a deficient number, since it is larger than the sum of its proper divisors (1).

100335314122633 is an equidigital number, since it uses as much as digits as its factorization.

100335314122633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 37.

Adding to 100335314122633 its reverse (336221413533001), we get a palindrome (436556727655634).

The spelling of 100335314122633 in words is "one hundred trillion, three hundred thirty-five billion, three hundred fourteen million, one hundred twenty-two thousand, six hundred thirty-three".