10100001020069 has 2 divisors, whose sum is σ = 10100001020070. Its totient is φ = 10100001020068.

The previous prime is 10100001019973. The next prime is 10100001020077. The reversal of 10100001020069 is 96002010000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6767412030625 + 3332588989444 = 2601425^2 + 1825538^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100001020069 - 2²⁰ = 10099999971493 is a prime.

It is a super-4 number, since 4×10100001020069⁴ (a number of 53 digits) contains 4444 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 10100001020069.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100001028069) 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, 5050000510034 + 5050000510035.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000510035).

Almost surely, 2^{10100001020069} is an apocalyptic number.

It is an amenable number.

10100001020069 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100001020069 is an equidigital number, since it uses as much as digits as its factorization.

10100001020069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 10100001020069 in words is "ten trillion, one hundred billion, one million, twenty thousand, sixty-nine".