461615104242101 has 2 divisors, whose sum is σ = 461615104242102. Its totient is φ = 461615104242100.

The previous prime is 461615104242079. The next prime is 461615104242137. The reversal of 461615104242101 is 101242401516164.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 461499095200900 + 116009041201 = 21482530^2 + 340601^2 .

It is a cyclic number.

It is not a de Polignac number, because 461615104242101 - 2³⁰ = 461614030500277 is a prime.

It is a super-3 number, since 3×461615104242101³ (a number of 45 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (461615104242601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230807552121050 + 230807552121051.

It is an arithmetic number, because the mean of its divisors is an integer number (230807552121051).

Almost surely, 2^{461615104242101} is an apocalyptic number.

It is an amenable number.

461615104242101 is a deficient number, since it is larger than the sum of its proper divisors (1).

461615104242101 is an equidigital number, since it uses as much as digits as its factorization.

461615104242101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46080, while the sum is 38.

Adding to 461615104242101 its reverse (101242401516164), we get a palindrome (562857505758265).

The spelling of 461615104242101 in words is "four hundred sixty-one trillion, six hundred fifteen billion, one hundred four million, two hundred forty-two thousand, one hundred one".