10002110200109 has 2 divisors, whose sum is σ = 10002110200110. Its totient is φ = 10002110200108.

The previous prime is 10002110200091. The next prime is 10002110200111. The reversal of 10002110200109 is 90100201120001.

Together with previous prime (10002110200091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7417877122084 + 2584233078025 = 2723578^2 + 1607555^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002110200109 is a prime.

It is a super-2 number, since 2×10002110200109² (a number of 27 digits) contains 22 as substring.

Together with 10002110200111, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002110200189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001055100054 + 5001055100055.

It is an arithmetic number, because the mean of its divisors is an integer number (5001055100055).

Almost surely, 2^{10002110200109} is an apocalyptic number.

It is an amenable number.

10002110200109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002110200109 is an equidigital number, since it uses as much as digits as its factorization.

10002110200109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 10002110200109 in words is "ten trillion, two billion, one hundred ten million, two hundred thousand, one hundred nine".