10301505209209 has 2 divisors, whose sum is σ = 10301505209210. Its totient is φ = 10301505209208.

The previous prime is 10301505209137. The next prime is 10301505209221. The reversal of 10301505209209 is 90290250510301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6316802555625 + 3984702653584 = 2513325^2 + 1996172^2 .

It is an emirp because it is prime and its reverse (90290250510301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10301505209209 - 2²¹ = 10301503112057 is a prime.

It is a super-2 number, since 2×10301505209209² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10301505209239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5150752604604 + 5150752604605.

It is an arithmetic number, because the mean of its divisors is an integer number (5150752604605).

Almost surely, 2^{10301505209209} is an apocalyptic number.

It is an amenable number.

10301505209209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10301505209209 is an equidigital number, since it uses as much as digits as its factorization.

10301505209209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24300, while the sum is 37.

The spelling of 10301505209209 in words is "ten trillion, three hundred one billion, five hundred five million, two hundred nine thousand, two hundred nine".