401011011030017 has 2 divisors, whose sum is σ = 401011011030018. Its totient is φ = 401011011030016.

The previous prime is 401011011029929. The next prime is 401011011030061. The reversal of 401011011030017 is 710030110110104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 400667117922241 + 343893107776 = 20016671^2 + 586424^2 .

It is a cyclic number.

It is not a de Polignac number, because 401011011030017 - 2¹⁴ = 401011011013633 is a prime.

It is not a weakly prime, because it can be changed into another prime (401011011035017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200505505515008 + 200505505515009.

It is an arithmetic number, because the mean of its divisors is an integer number (200505505515009).

Almost surely, 2^{401011011030017} is an apocalyptic number.

It is an amenable number.

401011011030017 is a deficient number, since it is larger than the sum of its proper divisors (1).

401011011030017 is an equidigital number, since it uses as much as digits as its factorization.

401011011030017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 20.

The spelling of 401011011030017 in words is "four hundred one trillion, eleven billion, eleven million, thirty thousand, seventeen".