11301110322121 has 2 divisors, whose sum is σ = 11301110322122. Its totient is φ = 11301110322120.

The previous prime is 11301110322091. The next prime is 11301110322127. The reversal of 11301110322121 is 12122301110311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10916944646400 + 384165675721 = 3304080^2 + 619811^2 .

It is a cyclic number.

It is not a de Polignac number, because 11301110322121 - 2⁴³ = 2505017299913 is a prime.

It is not a weakly prime, because it can be changed into another prime (11301110322127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5650555161060 + 5650555161061.

It is an arithmetic number, because the mean of its divisors is an integer number (5650555161061).

Almost surely, 2^{11301110322121} is an apocalyptic number.

It is an amenable number.

11301110322121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11301110322121 is an equidigital number, since it uses as much as digits as its factorization.

11301110322121 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 19.

Adding to 11301110322121 its reverse (12122301110311), we get a palindrome (23423411432432).

The spelling of 11301110322121 in words is "eleven trillion, three hundred one billion, one hundred ten million, three hundred twenty-two thousand, one hundred twenty-one".