2165354261101 has 2 divisors, whose sum is σ = 2165354261102. Its totient is φ = 2165354261100.

The previous prime is 2165354261033. The next prime is 2165354261141. The reversal of 2165354261101 is 1011624535612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1889071569225 + 276282691876 = 1374435^2 + 525626^2 .

It is a cyclic number.

It is not a de Polignac number, because 2165354261101 - 2¹¹ = 2165354259053 is a prime.

It is a super-3 number, since 3×2165354261101³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2165354261141) 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, 1082677130550 + 1082677130551.

It is an arithmetic number, because the mean of its divisors is an integer number (1082677130551).

Almost surely, 2^{2165354261101} is an apocalyptic number.

It is an amenable number.

2165354261101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2165354261101 is an equidigital number, since it uses as much as digits as its factorization.

2165354261101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 37.

Adding to 2165354261101 its reverse (1011624535612), we get a palindrome (3176978796713).

The spelling of 2165354261101 in words is "two trillion, one hundred sixty-five billion, three hundred fifty-four million, two hundred sixty-one thousand, one hundred one".