10034322001 has 12 divisors (see below), whose sum is σ = 11298478212. Its totient is φ = 8899616000.

The previous prime is 10034321977. The next prime is 10034322073. The reversal of 10034322001 is 10022343001.

It is a happy number.

10034322001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5568741376 + 4465580625 = 74624^2 + 66825^2 .

It is not a de Polignac number, because 10034322001 - 2¹⁹ = 10033797713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10034322601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1006360 + ... + 1016281.

It is an arithmetic number, because the mean of its divisors is an integer number (941539851).

Almost surely, 2^10034322001 is an apocalyptic number.

10034322001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10034322001 is a deficient number, since it is larger than the sum of its proper divisors (1264156211).

10034322001 is a wasteful number, since it uses less digits than its factorization.

10034322001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022704 (or 2022693 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10034322001 its reverse (10022343001), we get a palindrome (20056665002).

The spelling of 10034322001 in words is "ten billion, thirty-four million, three hundred twenty-two thousand, one".