101305121 has 8 divisors (see below), whose sum is σ = 102858024. Its totient is φ = 99763200.

The previous prime is 101305111. The next prime is 101305123. The reversal of 101305121 is 121503101.

It can be written as a sum of positive squares in 4 ways, for example, as 25806400 + 75498721 = 5080^2 + 8689^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101305121 - 2¹⁰ = 101304097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101305096 and 101305105.

It is not an unprimeable number, because it can be changed into a prime (101305123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16895 + ... + 22091.

It is an arithmetic number, because the mean of its divisors is an integer number (12857253).

Almost surely, 2^101305121 is an apocalyptic number.

It is an amenable number.

101305121 is a deficient number, since it is larger than the sum of its proper divisors (1552903).

101305121 is a wasteful number, since it uses less digits than its factorization.

101305121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5491.

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 101305121 is about 10065.0445105822. The cubic root of 101305121 is about 466.1694401852.

Adding to 101305121 its reverse (121503101), we get a palindrome (222808222).

It can be divided in two parts, 10130 and 5121, that added together give a palindrome (15251).

The spelling of 101305121 in words is "one hundred one million, three hundred five thousand, one hundred twenty-one".