101134225305 has 12 divisors (see below), whose sum is σ = 175299323940. Its totient is φ = 53938253472.

The previous prime is 101134225301. The next prime is 101134225307. The reversal of 101134225305 is 503522431101.

101134225305 is a `hidden beast` number, since 1 + 0 + 1 + 134 + 225 + 305 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47323216521 + 53811008784 = 217539^2 + 231972^2 .

It is not a de Polignac number, because 101134225305 - 2² = 101134225301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101134225301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1123713570 + ... + 1123713659.

It is an arithmetic number, because the mean of its divisors is an integer number (14608276995).

Almost surely, 2^101134225305 is an apocalyptic number.

101134225305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101134225305 is a deficient number, since it is larger than the sum of its proper divisors (74165098635).

101134225305 is a wasteful number, since it uses less digits than its factorization.

101134225305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247427240 (or 2247427237 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 101134225305 its reverse (503522431101), we get a palindrome (604656656406).

The spelling of 101134225305 in words is "one hundred one billion, one hundred thirty-four million, two hundred twenty-five thousand, three hundred five".