10000102001969 has 2 divisors, whose sum is σ = 10000102001970. Its totient is φ = 10000102001968.

The previous prime is 10000102001873. The next prime is 10000102001971. The reversal of 10000102001969 is 96910020100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9128283903025 + 871818098944 = 3021305^2 + 933712^2 .

It is an emirp because it is prime and its reverse (96910020100001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000102001969 is a prime.

It is a super-3 number, since 3×10000102001969³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 10000102001971, 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 (10000102000969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000051000984 + 5000051000985.

It is an arithmetic number, because the mean of its divisors is an integer number (5000051000985).

Almost surely, 2^{10000102001969} is an apocalyptic number.

It is an amenable number.

10000102001969 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000102001969 is an equidigital number, since it uses as much as digits as its factorization.

10000102001969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 29.

The spelling of 10000102001969 in words is "ten trillion, one hundred two million, one thousand, nine hundred sixty-nine".