10100505109 has 2 divisors, whose sum is σ = 10100505110. Its totient is φ = 10100505108.

The previous prime is 10100505083. The next prime is 10100505119. The reversal of 10100505109 is 90150500101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6005785009 + 4094720100 = 77497^2 + 63990^2 .

It is an emirp because it is prime and its reverse (90150500101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100505109 - 2²⁷ = 9966287381 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100505109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100505119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050252554 + 5050252555.

It is an arithmetic number, because the mean of its divisors is an integer number (5050252555).

Almost surely, 2^10100505109 is an apocalyptic number.

It is an amenable number.

10100505109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100505109 is an equidigital number, since it uses as much as digits as its factorization.

10100505109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225, while the sum is 22.

The spelling of 10100505109 in words is "ten billion, one hundred million, five hundred five thousand, one hundred nine".