161606506616101 has 2 divisors, whose sum is σ = 161606506616102. Its totient is φ = 161606506616100.

The previous prime is 161606506616099. The next prime is 161606506616117. The reversal of 161606506616101 is 101616605606161.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 151654052744100 + 9952453872001 = 12314790^2 + 3154751^2 .

It is a cyclic number.

It is not a de Polignac number, because 161606506616101 - 2¹ = 161606506616099 is a prime.

It is a super-2 number, since 2×161606506616101² (a number of 29 digits) contains 22 as substring.

Together with 161606506616099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (161606506616131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 80803253308050 + 80803253308051.

It is an arithmetic number, because the mean of its divisors is an integer number (80803253308051).

Almost surely, 2^{161606506616101} is an apocalyptic number.

It is an amenable number.

161606506616101 is a deficient number, since it is larger than the sum of its proper divisors (1).

161606506616101 is an equidigital number, since it uses as much as digits as its factorization.

161606506616101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 161606506616101 in words is "one hundred sixty-one trillion, six hundred six billion, five hundred six million, six hundred sixteen thousand, one hundred one".