10002123100019 has 2 divisors, whose sum is σ = 10002123100020. Its totient is φ = 10002123100018.

The previous prime is 10002123099973. The next prime is 10002123100027. The reversal of 10002123100019 is 91000132120001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002123100019 is a prime.

It is a super-2 number, since 2×10002123100019² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10002123100219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001061550009 + 5001061550010.

It is an arithmetic number, because the mean of its divisors is an integer number (5001061550010).

Almost surely, 2^{10002123100019} is an apocalyptic number.

10002123100019 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002123100019 is an equidigital number, since it uses as much as digits as its factorization.

10002123100019 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 10002123100019 in words is "ten trillion, two billion, one hundred twenty-three million, one hundred thousand, nineteen".