10120441027901 has 2 divisors, whose sum is σ = 10120441027902. Its totient is φ = 10120441027900.

The previous prime is 10120441027891. The next prime is 10120441027913. The reversal of 10120441027901 is 10972014402101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8546846403001 + 1573594624900 = 2923499^2 + 1254430^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120441027901 - 2³⁴ = 10103261158717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10120441027981) 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, 5060220513950 + 5060220513951.

It is an arithmetic number, because the mean of its divisors is an integer number (5060220513951).

Almost surely, 2^{10120441027901} is an apocalyptic number.

It is an amenable number.

10120441027901 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120441027901 is an equidigital number, since it uses as much as digits as its factorization.

10120441027901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 10120441027901 in words is "ten trillion, one hundred twenty billion, four hundred forty-one million, twenty-seven thousand, nine hundred one".