10100100919 has 2 divisors, whose sum is σ = 10100100920. Its totient is φ = 10100100918.

The previous prime is 10100100859. The next prime is 10100100971. The reversal of 10100100919 is 91900100101.

10100100919 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10100100919 - 2⁹ = 10100100407 is a prime.

It is a super-3 number, since 3×10100100919³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10100100919.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100100719) 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, 5050050459 + 5050050460.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050460).

Almost surely, 2^10100100919 is an apocalyptic number.

10100100919 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100919 is an equidigital number, since it uses as much as digits as its factorization.

10100100919 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 10100100919 in words is "ten billion, one hundred million, one hundred thousand, nine hundred nineteen".