101017225305 has 32 divisors (see below), whose sum is σ = 180225342720. Its totient is φ = 53684104320.

The previous prime is 101017225241. The next prime is 101017225367. The reversal of 101017225305 is 503522710101.

101017225305 is a `hidden beast` number, since 1 + 0 + 101 + 7 + 22 + 530 + 5 = 666.

It is not a de Polignac number, because 101017225305 - 2⁶ = 101017225241 is a prime.

It is a super-2 number, since 2×101017225305² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1293517 + ... + 1369386.

It is an arithmetic number, because the mean of its divisors is an integer number (5632041960).

Almost surely, 2^101017225305 is an apocalyptic number.

101017225305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101017225305 is a deficient number, since it is larger than the sum of its proper divisors (79208117415).

101017225305 is a wasteful number, since it uses less digits than its factorization.

101017225305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663198 (or 2663192 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 101017225305 its reverse (503522710101), we get a palindrome (604539935406).

The spelling of 101017225305 in words is "one hundred one billion, seventeen million, two hundred twenty-five thousand, three hundred five".