10110512436461 has 2 divisors, whose sum is σ = 10110512436462. Its totient is φ = 10110512436460.

The previous prime is 10110512436383. The next prime is 10110512436463. The reversal of 10110512436461 is 16463421501101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8536880178436 + 1573632258025 = 2921794^2 + 1254445^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110512436461 - 2²⁶ = 10110445327597 is a prime.

It is a super-3 number, since 3×10110512436461³ (a number of 40 digits) contains 333 as substring.

Together with 10110512436463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10110512436463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055256218230 + 5055256218231.

It is an arithmetic number, because the mean of its divisors is an integer number (5055256218231).

Almost surely, 2^{10110512436461} is an apocalyptic number.

It is an amenable number.

10110512436461 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110512436461 is an equidigital number, since it uses as much as digits as its factorization.

10110512436461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 35.

Adding to 10110512436461 its reverse (16463421501101), we get a palindrome (26573933937562).

The spelling of 10110512436461 in words is "ten trillion, one hundred ten billion, five hundred twelve million, four hundred thirty-six thousand, four hundred sixty-one".