10201040401 has 2 divisors, whose sum is σ = 10201040402. Its totient is φ = 10201040400.

The previous prime is 10201040387. The next prime is 10201040429. The reversal of 10201040401 is 10404010201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10201000000 + 40401 = 101000^2 + 201^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201040401 - 2²⁵ = 10167485969 is a prime.

It is a super-2 number, since 2×10201040401² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10201040461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100520200 + 5100520201.

It is an arithmetic number, because the mean of its divisors is an integer number (5100520201).

Almost surely, 2^10201040401 is an apocalyptic number.

It is an amenable number.

10201040401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201040401 is an equidigital number, since it uses as much as digits as its factorization.

10201040401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10201040401 its reverse (10404010201), we get a palindrome (20605050602).

The spelling of 10201040401 in words is "ten billion, two hundred one million, forty thousand, four hundred one".