10145023621009 has 2 divisors, whose sum is σ = 10145023621010. Its totient is φ = 10145023621008.

The previous prime is 10145023620959. The next prime is 10145023621043. The reversal of 10145023621009 is 90012632054101.

It is an a-pointer prime, because the next prime (10145023621043) can be obtained adding 10145023621009 to its sum of digits (34).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10137601281600 + 7422339409 = 3183960^2 + 86153^2 .

It is a cyclic number.

It is not a de Polignac number, because 10145023621009 - 2⁷ = 10145023620881 is a prime.

It is not a weakly prime, because it can be changed into another prime (10145023621309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5072511810504 + 5072511810505.

It is an arithmetic number, because the mean of its divisors is an integer number (5072511810505).

Almost surely, 2^{10145023621009} is an apocalyptic number.

It is an amenable number.

10145023621009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10145023621009 is an equidigital number, since it uses as much as digits as its factorization.

10145023621009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 10145023621009 in words is "ten trillion, one hundred forty-five billion, twenty-three million, six hundred twenty-one thousand, nine".