10419101101 has 2 divisors, whose sum is σ = 10419101102. Its totient is φ = 10419101100.

The previous prime is 10419101093. The next prime is 10419101123. The reversal of 10419101101 is 10110191401.

It is a happy number.

10419101101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10393598601 + 25502500 = 101949^2 + 5050^2 .

It is a cyclic number.

It is not a de Polignac number, because 10419101101 - 2³ = 10419101093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10419101171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5209550550 + 5209550551.

It is an arithmetic number, because the mean of its divisors is an integer number (5209550551).

Almost surely, 2^10419101101 is an apocalyptic number.

It is an amenable number.

10419101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10419101101 is an equidigital number, since it uses as much as digits as its factorization.

10419101101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 10419101101 its reverse (10110191401), we get a palindrome (20529292502).

The spelling of 10419101101 in words is "ten billion, four hundred nineteen million, one hundred one thousand, one hundred one".