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103301122121 is a prime number
BaseRepresentation
bin110000000110100111…
…0100000100001001001
3100212122020021201110222
41200031032200201021
53143030041401441
6115242245315425
710314620023151
oct1401516404111
9325566251428
10103301122121
113a89a876aaa
121802b405b75
1399836c5742
144ddd64d761
152a48e5ed4b
hex180d3a0849

103301122121 has 2 divisors, whose sum is σ = 103301122122. Its totient is φ = 103301122120.

The previous prime is 103301122117. The next prime is 103301122129. The reversal of 103301122121 is 121221103301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102935738896 + 365383225 = 320836^2 + 19115^2 .

It is a cyclic number.

It is not a de Polignac number, because 103301122121 - 22 = 103301122117 is a prime.

It is a super-2 number, since 2×1033011221212 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103301122121.

It is not a weakly prime, because it can be changed into another prime (103301122129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51650561060 + 51650561061.

It is an arithmetic number, because the mean of its divisors is an integer number (51650561061).

Almost surely, 2103301122121 is an apocalyptic number.

It is an amenable number.

103301122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

103301122121 is an equidigital number, since it uses as much as digits as its factorization.

103301122121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 103301122121 its reverse (121221103301), we get a palindrome (224522225422).

The spelling of 103301122121 in words is "one hundred three billion, three hundred one million, one hundred twenty-two thousand, one hundred twenty-one".