101100010109933 has 2 divisors, whose sum is σ = 101100010109934. Its totient is φ = 101100010109932.

The previous prime is 101100010109921. The next prime is 101100010109947. The reversal of 101100010109933 is 339901010001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99749017678249 + 1350992431684 = 9987443^2 + 1162322^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100010109933 - 2⁸ = 101100010109677 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101100010109896 and 101100010109905.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100010109953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550005054966 + 50550005054967.

It is an arithmetic number, because the mean of its divisors is an integer number (50550005054967).

Almost surely, 2^{101100010109933} is an apocalyptic number.

It is an amenable number.

101100010109933 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100010109933 is an equidigital number, since it uses as much as digits as its factorization.

101100010109933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 29.

The spelling of 101100010109933 in words is "one hundred one trillion, one hundred billion, ten million, one hundred nine thousand, nine hundred thirty-three".