10085001017401 has 2 divisors, whose sum is σ = 10085001017402. Its totient is φ = 10085001017400.

The previous prime is 10085001017393. The next prime is 10085001017519. The reversal of 10085001017401 is 10471010058001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10078872476176 + 6128541225 = 3174724^2 + 78285^2 .

It is a cyclic number.

It is not a de Polignac number, because 10085001017401 - 2³ = 10085001017393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10085001017401.

It is not a weakly prime, because it can be changed into another prime (10085001077401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5042500508700 + 5042500508701.

It is an arithmetic number, because the mean of its divisors is an integer number (5042500508701).

Almost surely, 2^{10085001017401} is an apocalyptic number.

It is an amenable number.

10085001017401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10085001017401 is an equidigital number, since it uses as much as digits as its factorization.

10085001017401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1120, while the sum is 28.

The spelling of 10085001017401 in words is "ten trillion, eighty-five billion, one million, seventeen thousand, four hundred one".