101505121 has 2 divisors, whose sum is σ = 101505122. Its totient is φ = 101505120.

The previous prime is 101505119. The next prime is 101505139. The reversal of 101505121 is 121505101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54390625 + 47114496 = 7375^2 + 6864^2 .

It is an emirp because it is prime and its reverse (121505101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101505121 - 2¹ = 101505119 is a prime.

Together with 101505119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101505095 and 101505104.

It is not a weakly prime, because it can be changed into another prime (101505421) 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 as a sum of consecutive naturals, namely, 50752560 + 50752561.

It is an arithmetic number, because the mean of its divisors is an integer number (50752561).

Almost surely, 2^101505121 is an apocalyptic number.

It is an amenable number.

101505121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101505121 is an equidigital number, since it uses as much as digits as its factorization.

101505121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50, while the sum is 16.

The square root of 101505121 is about 10074.9749875620. The cubic root of 101505121 is about 466.4760143549.

The spelling of 101505121 in words is "one hundred one million, five hundred five thousand, one hundred twenty-one".