10017501000401 has 2 divisors, whose sum is σ = 10017501000402. Its totient is φ = 10017501000400.

The previous prime is 10017501000389. The next prime is 10017501000407. The reversal of 10017501000401 is 10400010571001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9779723835025 + 237777165376 = 3127255^2 + 487624^2 .

It is an emirp because it is prime and its reverse (10400010571001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10017501000401 is a prime.

It is not a weakly prime, because it can be changed into another prime (10017501000407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5008750500200 + 5008750500201.

It is an arithmetic number, because the mean of its divisors is an integer number (5008750500201).

Almost surely, 2^{10017501000401} is an apocalyptic number.

It is an amenable number.

10017501000401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10017501000401 is an equidigital number, since it uses as much as digits as its factorization.

10017501000401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 20.

Adding to 10017501000401 its reverse (10400010571001), we get a palindrome (20417511571402).

The spelling of 10017501000401 in words is "ten trillion, seventeen billion, five hundred one million, four hundred one", and thus it is an aban number.