10201000001 has 8 divisors (see below), whose sum is σ = 10241147784. Its totient is φ = 10160916480.

The previous prime is 10200999989. The next prime is 10201000031. The reversal of 10201000001 is 10000010201.

It is a happy number.

It is a Cunningham number, because it is equal to 101000²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 537126976 + 9663873025 = 23176^2 + 98305^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10201000001 - 2¹⁸ = 10200737857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201000031) 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 in 7 ways as a sum of consecutive naturals, for example, 315341 + ... + 346181.

It is an arithmetic number, because the mean of its divisors is an integer number (1280143473).

Almost surely, 2^10201000001 is an apocalyptic number.

It is an amenable number.

10201000001 is a deficient number, since it is larger than the sum of its proper divisors (40147783).

10201000001 is an equidigital number, since it uses as much as digits as its factorization.

10201000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32131.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10201000001 its reverse (10000010201), we get a palindrome (20201010202).

The spelling of 10201000001 in words is "ten billion, two hundred one million, one", and thus it is an aban number.