10142124048401 has 2 divisors, whose sum is σ = 10142124048402. Its totient is φ = 10142124048400.

The previous prime is 10142124048361. The next prime is 10142124048449. The reversal of 10142124048401 is 10484042124101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7285686038401 + 2856438010000 = 2699201^2 + 1690100^2 .

It is a cyclic number.

It is not a de Polignac number, because 10142124048401 - 2⁶ = 10142124048337 is a prime.

It is not a weakly prime, because it can be changed into another prime (10142124048461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5071062024200 + 5071062024201.

It is an arithmetic number, because the mean of its divisors is an integer number (5071062024201).

Almost surely, 2^{10142124048401} is an apocalyptic number.

It is an amenable number.

10142124048401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10142124048401 is an equidigital number, since it uses as much as digits as its factorization.

10142124048401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8192, while the sum is 32.

The spelling of 10142124048401 in words is "ten trillion, one hundred forty-two billion, one hundred twenty-four million, forty-eight thousand, four hundred one".