10102102000901 has 2 divisors, whose sum is σ = 10102102000902. Its totient is φ = 10102102000900.

The previous prime is 10102102000871. The next prime is 10102102000927. The reversal of 10102102000901 is 10900020120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6547708204801 + 3554393796100 = 2558849^2 + 1885310^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102102000901 - 2³⁴ = 10084922131717 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10102102000901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102102090901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051051000450 + 5051051000451.

It is an arithmetic number, because the mean of its divisors is an integer number (5051051000451).

Almost surely, 2^{10102102000901} is an apocalyptic number.

It is an amenable number.

10102102000901 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102102000901 is an equidigital number, since it uses as much as digits as its factorization.

10102102000901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 10102102000901 in words is "ten trillion, one hundred two billion, one hundred two million, nine hundred one", and thus it is an aban number.