11301122113121 has 2 divisors, whose sum is σ = 11301122113122. Its totient is φ = 11301122113120.

The previous prime is 11301122113019. The next prime is 11301122113241. The reversal of 11301122113121 is 12131122110311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10324011610000 + 977110503121 = 3213100^2 + 988489^2 .

It is a cyclic number.

It is not a de Polignac number, because 11301122113121 - 2²² = 11301117918817 is a prime.

It is a super-2 number, since 2×11301122113121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11301122113093 and 11301122113102.

It is not a weakly prime, because it can be changed into another prime (11301122110121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5650561056560 + 5650561056561.

It is an arithmetic number, because the mean of its divisors is an integer number (5650561056561).

Almost surely, 2^{11301122113121} is an apocalyptic number.

It is an amenable number.

11301122113121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11301122113121 is an equidigital number, since it uses as much as digits as its factorization.

11301122113121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 11301122113121 its reverse (12131122110311), we get a palindrome (23432244223432).

The spelling of 11301122113121 in words is "eleven trillion, three hundred one billion, one hundred twenty-two million, one hundred thirteen thousand, one hundred twenty-one".