10110105510601 has 2 divisors, whose sum is σ = 10110105510602. Its totient is φ = 10110105510600.

The previous prime is 10110105510581. The next prime is 10110105510629. The reversal of 10110105510601 is 10601550101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10109213891001 + 891619600 = 3179499^2 + 29860^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110105510601 - 2¹⁵ = 10110105477833 is a prime.

It is not a weakly prime, because it can be changed into another prime (10110105510691) 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, 5055052755300 + 5055052755301.

It is an arithmetic number, because the mean of its divisors is an integer number (5055052755301).

Almost surely, 2^{10110105510601} is an apocalyptic number.

It is an amenable number.

10110105510601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110105510601 is an equidigital number, since it uses as much as digits as its factorization.

10110105510601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 22.

Adding to 10110105510601 its reverse (10601550101101), we get a palindrome (20711655611702).

The spelling of 10110105510601 in words is "ten trillion, one hundred ten billion, one hundred five million, five hundred ten thousand, six hundred one".