10122121837819 has 2 divisors, whose sum is σ = 10122121837820. Its totient is φ = 10122121837818.

The previous prime is 10122121837813. The next prime is 10122121837879. The reversal of 10122121837819 is 91873812122101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10122121837819 - 2⁷ = 10122121837691 is a prime.

It is a super-4 number, since 4×10122121837819⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10122121837813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061060918909 + 5061060918910.

It is an arithmetic number, because the mean of its divisors is an integer number (5061060918910).

Almost surely, 2^{10122121837819} is an apocalyptic number.

10122121837819 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122121837819 is an equidigital number, since it uses as much as digits as its factorization.

10122121837819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 46.

The spelling of 10122121837819 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one million, eight hundred thirty-seven thousand, eight hundred nineteen".