101042200305 has 64 divisors (see below), whose sum is σ = 180322682880. Its totient is φ = 53682020352.

The previous prime is 101042200223. The next prime is 101042200309. The reversal of 101042200305 is 503002240101.

It is not a de Polignac number, because 101042200305 - 2⁷ = 101042200177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101042200309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47281197 + ... + 47283333.

It is an arithmetic number, because the mean of its divisors is an integer number (2817541920).

Almost surely, 2^101042200305 is an apocalyptic number.

101042200305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101042200305 is a deficient number, since it is larger than the sum of its proper divisors (79280482575).

101042200305 is a wasteful number, since it uses less digits than its factorization.

101042200305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 101042200305 its reverse (503002240101), we get a palindrome (604044440406).

The spelling of 101042200305 in words is "one hundred one billion, forty-two million, two hundred thousand, three hundred five".