101146743368181 has 16 divisors (see below), whose sum is σ = 171253745385600. Its totient is φ = 57798139067424.

The previous prime is 101146743368171. The next prime is 101146743368183. The reversal of 101146743368181 is 181863347641101.

101146743368181 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 4 + 67 + 43 + 368 + 181 = 666.

It is not a de Polignac number, because 101146743368181 - 2⁶ = 101146743368117 is a prime.

It is a super-2 number, since 2×101146743368181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101146743368183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267583976976 + ... + 267583977353.

It is an arithmetic number, because the mean of its divisors is an integer number (10703359086600).

Almost surely, 2^{101146743368181} is an apocalyptic number.

It is an amenable number.

101146743368181 is a deficient number, since it is larger than the sum of its proper divisors (70107002017419).

101146743368181 is an equidigital number, since it uses as much as digits as its factorization.

101146743368181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535167954345 (or 535167954339 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 101146743368181 in words is "one hundred one trillion, one hundred forty-six billion, seven hundred forty-three million, three hundred sixty-eight thousand, one hundred eighty-one".