100109988547769 has 2 divisors, whose sum is σ = 100109988547770. Its totient is φ = 100109988547768.

The previous prime is 100109988547753. The next prime is 100109988547799. The reversal of 100109988547769 is 967745889901001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53992810080400 + 46117178467369 = 7347980^2 + 6790963^2 .

It is an emirp because it is prime and its reverse (967745889901001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100109988547769 - 2⁴ = 100109988547753 is a prime.

It is a super-2 number, since 2×100109988547769² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100109988547696 and 100109988547705.

It is not a weakly prime, because it can be changed into another prime (100109988547739) 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, 50054994273884 + 50054994273885.

It is an arithmetic number, because the mean of its divisors is an integer number (50054994273885).

Almost surely, 2^{100109988547769} is an apocalyptic number.

It is an amenable number.

100109988547769 is a deficient number, since it is larger than the sum of its proper divisors (1).

100109988547769 is an equidigital number, since it uses as much as digits as its factorization.

100109988547769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 274337280, while the sum is 74.

The spelling of 100109988547769 in words is "one hundred trillion, one hundred nine billion, nine hundred eighty-eight million, five hundred forty-seven thousand, seven hundred sixty-nine".