10010999875769 has 2 divisors, whose sum is σ = 10010999875770. Its totient is φ = 10010999875768.

The previous prime is 10010999875763. The next prime is 10010999875771. The reversal of 10010999875769 is 96757899901001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9638466649744 + 372533226025 = 3104588^2 + 610355^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010999875769 - 2¹⁶ = 10010999810233 is a prime.

It is a super-2 number, since 2×10010999875769² (a number of 27 digits) contains 22 as substring.

Together with 10010999875771, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10010999875763) 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, 5005499937884 + 5005499937885.

It is an arithmetic number, because the mean of its divisors is an integer number (5005499937885).

Almost surely, 2^{10010999875769} is an apocalyptic number.

It is an amenable number.

10010999875769 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010999875769 is an equidigital number, since it uses as much as digits as its factorization.

10010999875769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77157360, while the sum is 71.

The spelling of 10010999875769 in words is "ten trillion, ten billion, nine hundred ninety-nine million, eight hundred seventy-five thousand, seven hundred sixty-nine".