10102001120129 has 2 divisors, whose sum is σ = 10102001120130. Its totient is φ = 10102001120128.

The previous prime is 10102001120117. The next prime is 10102001120149. The reversal of 10102001120129 is 92102110020101.

It is an a-pointer prime, because the next prime (10102001120149) can be obtained adding 10102001120129 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9922626000400 + 179375119729 = 3150020^2 + 423527^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102001120129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10102001120129.

It is not a weakly prime, because it can be changed into another prime (10102001120149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051000560064 + 5051000560065.

It is an arithmetic number, because the mean of its divisors is an integer number (5051000560065).

Almost surely, 2^{10102001120129} is an apocalyptic number.

It is an amenable number.

10102001120129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102001120129 is an equidigital number, since it uses as much as digits as its factorization.

10102001120129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 10102001120129 in words is "ten trillion, one hundred two billion, one million, one hundred twenty thousand, one hundred twenty-nine".