10002122010137 has 2 divisors, whose sum is σ = 10002122010138. Its totient is φ = 10002122010136.

The previous prime is 10002122010079. The next prime is 10002122010227. The reversal of 10002122010137 is 73101022120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9810576609856 + 191545400281 = 3132184^2 + 437659^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002122010137 - 2³⁸ = 9727244103193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002122310137) 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, 5001061005068 + 5001061005069.

It is an arithmetic number, because the mean of its divisors is an integer number (5001061005069).

Almost surely, 2^{10002122010137} is an apocalyptic number.

It is an amenable number.

10002122010137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002122010137 is an equidigital number, since it uses as much as digits as its factorization.

10002122010137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 10002122010137 its reverse (73101022120001), we get a palindrome (83103144130138).

The spelling of 10002122010137 in words is "ten trillion, two billion, one hundred twenty-two million, ten thousand, one hundred thirty-seven".