101124124203233 has 2 divisors, whose sum is σ = 101124124203234. Its totient is φ = 101124124203232.

The previous prime is 101124124203163. The next prime is 101124124203317. The reversal of 101124124203233 is 332302421421101.

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., 100676981899264 + 447142303969 = 10033792^2 + 668687^2 .

It is a cyclic number.

It is not a de Polignac number, because 101124124203233 - 2³² = 101119829235937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101124124203196 and 101124124203205.

It is not a weakly prime, because it can be changed into another prime (101124124206233) 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, 50562062101616 + 50562062101617.

It is an arithmetic number, because the mean of its divisors is an integer number (50562062101617).

Almost surely, 2^{101124124203233} is an apocalyptic number.

It is an amenable number.

101124124203233 is a deficient number, since it is larger than the sum of its proper divisors (1).

101124124203233 is an equidigital number, since it uses as much as digits as its factorization.

101124124203233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 101124124203233 its reverse (332302421421101), we get a palindrome (433426545624334).

The spelling of 101124124203233 in words is "one hundred one trillion, one hundred twenty-four billion, one hundred twenty-four million, two hundred three thousand, two hundred thirty-three".