10005060101401 has 2 divisors, whose sum is σ = 10005060101402. Its totient is φ = 10005060101400.

The previous prime is 10005060101389. The next prime is 10005060101441. The reversal of 10005060101401 is 10410106050001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6170747841801 + 3834312259600 = 2484099^2 + 1958140^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005060101401 - 2³⁵ = 9970700363033 is a prime.

It is not a weakly prime, because it can be changed into another prime (10005060101441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002530050700 + 5002530050701.

It is an arithmetic number, because the mean of its divisors is an integer number (5002530050701).

Almost surely, 2^{10005060101401} is an apocalyptic number.

It is an amenable number.

10005060101401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005060101401 is an equidigital number, since it uses as much as digits as its factorization.

10005060101401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 10005060101401 its reverse (10410106050001), we get a palindrome (20415166151402).

The spelling of 10005060101401 in words is "ten trillion, five billion, sixty million, one hundred one thousand, four hundred one".