100011000100169 has 2 divisors, whose sum is σ = 100011000100170. Its totient is φ = 100011000100168.

The previous prime is 100011000100021. The next prime is 100011000100213. The reversal of 100011000100169 is 961001000110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67394051334544 + 32616948765625 = 8209388^2 + 5711125^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011000100169 - 2¹⁶ = 100011000034633 is a prime.

It is a super-2 number, since 2×100011000100169² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100011000100169.

It is not a weakly prime, because it can be changed into another prime (100011020100169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005500050084 + 50005500050085.

It is an arithmetic number, because the mean of its divisors is an integer number (50005500050085).

Almost surely, 2^{100011000100169} is an apocalyptic number.

It is an amenable number.

100011000100169 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011000100169 is an equidigital number, since it uses as much as digits as its factorization.

100011000100169 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 20.

The spelling of 100011000100169 in words is "one hundred trillion, eleven billion, one hundred thousand, one hundred sixty-nine".