10020010001 has 8 divisors (see below), whose sum is σ = 10617242184. Its totient is φ = 9423646720.

The previous prime is 10020009949. The next prime is 10020010019. The reversal of 10020010001 is 10001002001.

It is a happy number.

It is a Cunningham number, because it is equal to 100100²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1702387600 + 8317622401 = 41260^2 + 91201^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-10020010001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10020010201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193400 + ... + 239673.

It is an arithmetic number, because the mean of its divisors is an integer number (1327155273).

Almost surely, 2^10020010001 is an apocalyptic number.

It is an amenable number.

10020010001 is a deficient number, since it is larger than the sum of its proper divisors (597232183).

10020010001 is a wasteful number, since it uses less digits than its factorization.

10020010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434451.

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

Adding to 10020010001 its reverse (10001002001), we get a palindrome (20021012002).

The spelling of 10020010001 in words is "ten billion, twenty million, ten thousand, one".