101146716933 has 32 divisors (see below), whose sum is σ = 139784527872. Its totient is φ = 65015932800.

The previous prime is 101146716919. The next prime is 101146716971. The reversal of 101146716933 is 339617641101.

It is not a de Polignac number, because 101146716933 - 2⁴ = 101146716917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101146716973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3212041 + ... + 3243377.

It is an arithmetic number, because the mean of its divisors is an integer number (4368266496).

Almost surely, 2^101146716933 is an apocalyptic number.

It is an amenable number.

101146716933 is a deficient number, since it is larger than the sum of its proper divisors (38637810939).

101146716933 is a wasteful number, since it uses less digits than its factorization.

101146716933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31705.

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 101146716933 in words is "one hundred one billion, one hundred forty-six million, seven hundred sixteen thousand, nine hundred thirty-three".