101385103346289 has 81 divisors (see below), whose sum is σ = 176038519406841. Its totient is φ = 56061870091920.

The previous prime is 101385103346279. The next prime is 101385103346299. The reversal of 101385103346289 is 982643301583101.

It is a happy number.

The square root of 101385103346289 is 10069017.

It is a perfect power (a square), and thus also a powerful number.

101385103346289 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 8 + 5 + 1 + 0 + 3 + 3 + 4 + 628 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (101385103346279) and next prime (101385103346299).

It is not a de Polignac number, because 101385103346289 - 2⁹ = 101385103345777 is a prime.

It is a super-3 number, since 3×101385103346289³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101385103346239) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6554922334 + ... + 6554937800.

Almost surely, 2^{101385103346289} is an apocalyptic number.

101385103346289 is the 10069017-th square number.

101385103346289 is the 5034509-th centered octagonal number.

It is an amenable number.

101385103346289 is a deficient number, since it is larger than the sum of its proper divisors (74653416060552).

101385103346289 is an frugal number, since it uses more digits than its factorization.

101385103346289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31016 (or 15508 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 101385103346289 in words is "one hundred one trillion, three hundred eighty-five billion, one hundred three million, three hundred forty-six thousand, two hundred eighty-nine".